64302053990400 has 840 divisors, whose sum is σ = 238621065560064. Its totient is φ = 17117252812800.

The previous prime is 64302053990393. The next prime is 64302053990423. The reversal of 64302053990400 is 409935020346.

64302053990400 is a `hidden beast` number, since 6 + 4 + 3 + 0 + 20 + 539 + 90 + 4 + 0 + 0 = 666.

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 59 ways as a sum of consecutive naturals, for example, 10467529729 + ... + 10467535871.

Almost surely, 2^{64302053990400} is an apocalyptic number.

64302053990400 is a gapful number since it is divisible by the number (60) 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 64302053990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119310532780032).

64302053990400 is an abundant number, since it is smaller than the sum of its proper divisors (174319011569664).

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

64302053990400 is an equidigital number, since it uses as much as digits as its factorization.

64302053990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6822 (or 6784 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The spelling of 64302053990400 in words is "sixty-four trillion, three hundred two billion, fifty-three million, nine hundred ninety thousand, four hundred".