5630976000 has 672 divisors, whose sum is σ = 22327014528. Its totient is φ = 1356595200.

The previous prime is 5630975981. The next prime is 5630976019. The reversal of 5630976000 is 6790365.

It is a happy number.

5630976000 is a `hidden beast` number, since 563 + 0 + 97 + 6 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5630975981) and next prime (5630976019).

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 47 ways as a sum of consecutive naturals, for example, 119807977 + ... + 119808023.

It is an arithmetic number, because the mean of its divisors is an integer number (33224724).

Almost surely, 2^5630976000 is an apocalyptic number.

5630976000 is a gapful number since it is divisible by the number (50) 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 5630976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11163507264).

5630976000 is an abundant number, since it is smaller than the sum of its proper divisors (16696038528).

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

5630976000 is a wasteful number, since it uses less digits than its factorization.

5630976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 5630976000 is about 75039.8294241132. The cubic root of 5630976000 is about 1779.0762365820.

The spelling of 5630976000 in words is "five billion, six hundred thirty million, nine hundred seventy-six thousand".