6401437257600 has 4608 divisors, whose sum is σ = 33015286886400. Its totient is φ = 1182449664000.

The previous prime is 6401437257577. The next prime is 6401437257613. The reversal of 6401437257600 is 67527341046.

6401437257600 is a `hidden beast` number, since 6 + 4 + 0 + 1 + 4 + 3 + 72 + 576 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 19339689435 + ... + 19339689765.

It is an arithmetic number, because the mean of its divisors is an integer number (7164775800).

Almost surely, 2^{6401437257600} is an apocalyptic number.

6401437257600 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 6401437257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16507643443200).

6401437257600 is an abundant number, since it is smaller than the sum of its proper divisors (26613849628800).

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

6401437257600 is a wasteful number, since it uses less digits than its factorization.

6401437257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 6401437257600 in words is "six trillion, four hundred one billion, four hundred thirty-seven million, two hundred fifty-seven thousand, six hundred".