62493422400 has 672 divisors, whose sum is σ = 238903459200. Its totient is φ = 15869952000.

The previous prime is 62493422393. The next prime is 62493422417. The reversal of 62493422400 is 422439426.

62493422400 is a `hidden beast` number, since 6 + 249 + 3 + 4 + 2 + 2 + 400 = 666.

62493422400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 103982100 + ... + 103982700.

It is an arithmetic number, because the mean of its divisors is an integer number (355511100).

Almost surely, 2^62493422400 is an apocalyptic number.

62493422400 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 62493422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119451729600).

62493422400 is an abundant number, since it is smaller than the sum of its proper divisors (176410036800).

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

62493422400 is a wasteful number, since it uses less digits than its factorization.

62493422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 62493422400 in words is "sixty-two billion, four hundred ninety-three million, four hundred twenty-two thousand, four hundred".