647342967398400 has 9408 divisors, whose sum is σ = 3222985135749120. Its totient is φ = 125210669875200.

The previous prime is 647342967398333. The next prime is 647342967398417. The reversal of 647342967398400 is 4893769243746.

647342967398400 is a `hidden beast` number, since 6 + 4 + 7 + 3 + 42 + 96 + 7 + 3 + 98 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 12214018252774 + ... + 12214018252826.

Almost surely, 2^{647342967398400} is an apocalyptic number.

647342967398400 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 647342967398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611492567874560).

647342967398400 is an abundant number, since it is smaller than the sum of its proper divisors (2575642168350720).

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

647342967398400 is a wasteful number, since it uses less digits than its factorization.

647342967398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1316818944, while the sum is 72.

The spelling of 647342967398400 in words is "six hundred forty-seven trillion, three hundred forty-two billion, nine hundred sixty-seven million, three hundred ninety-eight thousand, four hundred".