363968640 has 640 divisors, whose sum is σ = 1599523200. Its totient is φ = 76972032.

The previous prime is 363968621. The next prime is 363968677. The reversal of 363968640 is 46869363.

363968640 is a `hidden beast` number, since 3 + 639 + 6 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 79 ways as a sum of consecutive naturals, for example, 6168931 + ... + 6168989.

It is an arithmetic number, because the mean of its divisors is an integer number (2499255).

Almost surely, 2^363968640 is an apocalyptic number.

363968640 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 363968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799761600).

363968640 is an abundant number, since it is smaller than the sum of its proper divisors (1235554560).

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

363968640 is a wasteful number, since it uses less digits than its factorization.

363968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 363968640 is about 19077.9621553247. The cubic root of 363968640 is about 713.9831928817.

The spelling of 363968640 in words is "three hundred sixty-three million, nine hundred sixty-eight thousand, six hundred forty".