63074678400 has 384 divisors, whose sum is σ = 244420070400. Its totient is φ = 15830138880.

The previous prime is 63074678377. The next prime is 63074678411. The reversal of 63074678400 is 487647036.

63074678400 is a `hidden beast` number, since 630 + 7 + 4 + 6 + 7 + 8 + 4 + 0 + 0 = 666.

63074678400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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, 1447329 + ... + 1490271.

It is an arithmetic number, because the mean of its divisors is an integer number (636510600).

Almost surely, 2^63074678400 is an apocalyptic number.

63074678400 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 63074678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122210035200).

63074678400 is an abundant number, since it is smaller than the sum of its proper divisors (181345392000).

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

63074678400 is a wasteful number, since it uses less digits than its factorization.

63074678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42993 (or 42970 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 63074678400 in words is "sixty-three billion, seventy-four million, six hundred seventy-eight thousand, four hundred".