630400838400 has 540 divisors, whose sum is σ = 2339659812952. Its totient is φ = 167473889280.

The previous prime is 630400838393. The next prime is 630400838411. The reversal of 630400838400 is 4838004036.

It is a tau number, because it is divible by the number of its divisors (540).

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 59 ways as a sum of consecutive naturals, for example, 146705052 + ... + 146709348.

Almost surely, 2^630400838400 is an apocalyptic number.

630400838400 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 630400838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169829906476).

630400838400 is an abundant number, since it is smaller than the sum of its proper divisors (1709258974552).

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

630400838400 is a wasteful number, since it uses less digits than its factorization.

630400838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4618 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 630400838400 in words is "six hundred thirty billion, four hundred million, eight hundred thirty-eight thousand, four hundred".