649545429640800 has 576 divisors, whose sum is σ = 2636072184582144. Its totient is φ = 134965423564800.

The previous prime is 649545429640777. The next prime is 649545429640843. The reversal of 649545429640800 is 8046924545946.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 6878763187 + ... + 6878857613.

It is an arithmetic number, because the mean of its divisors is an integer number (4576514209344).

Almost surely, 2^{649545429640800} is an apocalyptic number.

649545429640800 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 649545429640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318036092291072).

649545429640800 is an abundant number, since it is smaller than the sum of its proper divisors (1986526754941344).

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

649545429640800 is a wasteful number, since it uses less digits than its factorization.

649545429640800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131691 (or 131678 counting only the distinct ones).

The product of its (nonzero) digits is 298598400, while the sum is 66.

The spelling of 649545429640800 in words is "six hundred forty-nine trillion, five hundred forty-five billion, four hundred twenty-nine million, six hundred forty thousand, eight hundred".