368964599040 has 576 divisors, whose sum is σ = 1358105548800. Its totient is φ = 94755225600.

The previous prime is 368964599039. The next prime is 368964599089. The reversal of 368964599040 is 40995469863.

368964599040 is a `hidden beast` number, since 3 + 6 + 8 + 96 + 459 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×368964599040² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258197046 + ... + 258198474.

Almost surely, 2^368964599040 is an apocalyptic number.

368964599040 is a gapful number since it is divisible by the number (30) 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 368964599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679052774400).

368964599040 is an abundant number, since it is smaller than the sum of its proper divisors (989140949760).

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

368964599040 is a wasteful number, since it uses less digits than its factorization.

368964599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1711 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 368964599040 in words is "three hundred sixty-eight billion, nine hundred sixty-four million, five hundred ninety-nine thousand, forty".