364976640 has 480 divisors, whose sum is σ = 1511617536. Its totient is φ = 79626240.

The previous prime is 364976531. The next prime is 364976653. The reversal of 364976640 is 46679463.

It is a tau number, because it is divible by the number of its divisors (480).

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

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, 4999644 + ... + 4999716.

Almost surely, 2^364976640 is an apocalyptic number.

364976640 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 364976640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755808768).

364976640 is an abundant number, since it is smaller than the sum of its proper divisors (1146640896).

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

364976640 is a wasteful number, since it uses less digits than its factorization.

364976640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 364976640 is about 19104.3618056192. The cubic root of 364976640 is about 714.6417035413.

The spelling of 364976640 in words is "three hundred sixty-four million, nine hundred seventy-six thousand, six hundred forty".