649546281377280 has 2560 divisors, whose sum is σ = 2799729377280000. Its totient is φ = 142526629969920.

The previous prime is 649546281377269. The next prime is 649546281377393. The reversal of 649546281377280 is 82773182645946.

649546281377280 is a `hidden beast` number, since 6 + 4 + 9 + 5 + 462 + 8 + 13 + 7 + 72 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 649546281377199 and 649546281377208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 93339022441 + ... + 93339029399.

It is an arithmetic number, because the mean of its divisors is an integer number (1093644288000).

It is a 1-persistent number, because it is pandigital, but 2⋅649546281377280 = 1299092562754560 is not.

Almost surely, 2^{649546281377280} is an apocalyptic number.

649546281377280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649546281377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399864688640000).

649546281377280 is an abundant number, since it is smaller than the sum of its proper divisors (2150183095902720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

649546281377280 is a wasteful number, since it uses less digits than its factorization.

649546281377280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7170 (or 7134 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 72.

The spelling of 649546281377280 in words is "six hundred forty-nine trillion, five hundred forty-six billion, two hundred eighty-one million, three hundred seventy-seven thousand, two hundred eighty".