662738450774400 has 11520 divisors, whose sum is σ = 3517244881920000. Its totient is φ = 120645697536000.

The previous prime is 662738450774359. The next prime is 662738450774437. The reversal of 662738450774400 is 4477054837266.

662738450774400 is a `hidden beast` number, since 6 + 6 + 2 + 7 + 3 + 84 + 507 + 7 + 4 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1439 ways as a sum of consecutive naturals, for example, 4447909065526 + ... + 4447909065674.

It is an arithmetic number, because the mean of its divisors is an integer number (305316396000).

Almost surely, 2^{662738450774400} is an apocalyptic number.

662738450774400 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 662738450774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758622440960000).

662738450774400 is an abundant number, since it is smaller than the sum of its proper divisors (2854506431145600).

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

662738450774400 is a wasteful number, since it uses less digits than its factorization.

662738450774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 63.

The spelling of 662738450774400 in words is "six hundred sixty-two trillion, seven hundred thirty-eight billion, four hundred fifty million, seven hundred seventy-four thousand, four hundred".