649403758080 has 960 divisors, whose sum is σ = 2927454773760. Its totient is φ = 134933299200.

The previous prime is 649403758061. The next prime is 649403758187. The reversal of 649403758080 is 80857304946.

649403758080 is a `hidden beast` number, since 6 + 494 + 0 + 3 + 75 + 8 + 0 + 80 = 666.

649403758080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37246965 + ... + 37264395.

It is an arithmetic number, because the mean of its divisors is an integer number (3049432056).

Almost surely, 2^649403758080 is an apocalyptic number.

649403758080 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 649403758080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463727386880).

649403758080 is an abundant number, since it is smaller than the sum of its proper divisors (2278051015680).

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

649403758080 is a wasteful number, since it uses less digits than its factorization.

649403758080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17488 (or 17459 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 649403758080 in words is "six hundred forty-nine billion, four hundred three million, seven hundred fifty-eight thousand, eighty".