5972670900 has 432 divisors, whose sum is σ = 23089772160. Its totient is φ = 1260748800.

The previous prime is 5972670871. The next prime is 5972670937. The reversal of 5972670900 is 90762795.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 4907092 + ... + 4908308.

Almost surely, 2^5972670900 is an apocalyptic number.

5972670900 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 5972670900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11544886080).

5972670900 is an abundant number, since it is smaller than the sum of its proper divisors (17117101260).

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

5972670900 is a wasteful number, since it uses less digits than its factorization.

5972670900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 5972670900 is about 77283.0570047536. The cubic root of 5972670900 is about 1814.3574894916.

The spelling of 5972670900 in words is "five billion, nine hundred seventy-two million, six hundred seventy thousand, nine hundred".