63076820400 has 720 divisors, whose sum is σ = 258838968960. Its totient is φ = 14050713600.

The previous prime is 63076820399. The next prime is 63076820441. The reversal of 63076820400 is 402867036.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28946511 + ... + 28948689.

It is an arithmetic number, because the mean of its divisors is an integer number (359498568).

Almost surely, 2^63076820400 is an apocalyptic number.

63076820400 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 63076820400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129419484480).

63076820400 is an abundant number, since it is smaller than the sum of its proper divisors (195762148560).

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

63076820400 is a wasteful number, since it uses less digits than its factorization.

63076820400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2274 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 63076820400 in words is "sixty-three billion, seventy-six million, eight hundred twenty thousand, four hundred".