7970164200 has 144 divisors (see below), whose sum is σ = 26866881600. Its totient is φ = 2117404800.

The previous prime is 7970164199. The next prime is 7970164253. The reversal of 7970164200 is 24610797.

It is a happy number.

7970164200 is a `hidden beast` number, since 7 + 9 + 7 + 0 + 1 + 642 + 0 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 479631 + ... + 495969.

Almost surely, 2^7970164200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7970164200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13433440800).

7970164200 is an abundant number, since it is smaller than the sum of its proper divisors (18896717400).

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

7970164200 is a wasteful number, since it uses less digits than its factorization.

7970164200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16632 (or 16620 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7970164200 is about 89275.7761097600. The cubic root of 7970164200 is about 1997.5105860280.

Adding to 7970164200 its reverse (24610797), we get a palindrome (7994774997).

The spelling of 7970164200 in words is "seven billion, nine hundred seventy million, one hundred sixty-four thousand, two hundred".