364431590640 has 560 divisors, whose sum is σ = 1374632767872. Its totient is φ = 89277935616.

The previous prime is 364431590629. The next prime is 364431590659. The reversal of 364431590640 is 46095134463.

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 111 ways as a sum of consecutive naturals, for example, 176650249 + ... + 176652311.

Almost surely, 2^364431590640 is an apocalyptic number.

364431590640 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 364431590640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687316383936).

364431590640 is an abundant number, since it is smaller than the sum of its proper divisors (1010201177232).

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

364431590640 is a wasteful number, since it uses less digits than its factorization.

364431590640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2340 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 364431590640 in words is "three hundred sixty-four billion, four hundred thirty-one million, five hundred ninety thousand, six hundred forty".