364295641920 has 896 divisors, whose sum is σ = 1415180255232. Its totient is φ = 77635584000.

The previous prime is 364295641901. The next prime is 364295641921. The reversal of 364295641920 is 29146592463.

It is a super-2 number, since 2×364295641920² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364295641921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1163883684 + ... + 1163883996.

Almost surely, 2^364295641920 is an apocalyptic number.

364295641920 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 364295641920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707590127616).

364295641920 is an abundant number, since it is smaller than the sum of its proper divisors (1050884613312).

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

364295641920 is a wasteful number, since it uses less digits than its factorization.

364295641920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 364295641920 in words is "three hundred sixty-four billion, two hundred ninety-five million, six hundred forty-one thousand, nine hundred twenty".