6492404361600 has 384 divisors, whose sum is σ = 23811423292800. Its totient is φ = 1727589795840.

The previous prime is 6492404361581. The next prime is 6492404361629. The reversal of 6492404361600 is 61634042946.

6492404361600 is a `hidden beast` number, since 6 + 4 + 9 + 2 + 4 + 0 + 4 + 36 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 40268347 + ... + 40429253.

It is an arithmetic number, because the mean of its divisors is an integer number (62008914825).

Almost surely, 2^{6492404361600} is an apocalyptic number.

6492404361600 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 6492404361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11905711646400).

6492404361600 is an abundant number, since it is smaller than the sum of its proper divisors (17319018931200).

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

6492404361600 is a wasteful number, since it uses less digits than its factorization.

6492404361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161407 (or 161384 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 6492404361600 in words is "six trillion, four hundred ninety-two billion, four hundred four million, three hundred sixty-one thousand, six hundred".