647729792640 has 768 divisors, whose sum is σ = 2754775526400. Its totient is φ = 143270830080.

The previous prime is 647729792587. The next prime is 647729792701. The reversal of 647729792640 is 46297927746.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 26235982 + ... + 26260658.

It is an arithmetic number, because the mean of its divisors is an integer number (3586947300).

Almost surely, 2^647729792640 is an apocalyptic number.

647729792640 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 647729792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1377387763200).

647729792640 is an abundant number, since it is smaller than the sum of its proper divisors (2107045733760).

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

647729792640 is a wasteful number, since it uses less digits than its factorization.

647729792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24750 (or 24725 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 647729792640 in words is "six hundred forty-seven billion, seven hundred twenty-nine million, seven hundred ninety-two thousand, six hundred forty".