7870134272 has 288 divisors, whose sum is σ = 21349692000. Its totient is φ = 2822307840.

The previous prime is 7870134271. The next prime is 7870134281. The reversal of 7870134272 is 2724310787.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7870134271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22550354 + ... + 22550702.

It is an arithmetic number, because the mean of its divisors is an integer number (74130875).

Almost surely, 2^7870134272 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 7870134272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10674846000).

7870134272 is an abundant number, since it is smaller than the sum of its proper divisors (13479557728).

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

7870134272 is a wasteful number, since it uses less digits than its factorization.

7870134272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 41.

The square root of 7870134272 is about 88713.7772389385. Note that the first 3 decimals coincide. The cubic root of 7870134272 is about 1989.1187627002.

The spelling of 7870134272 in words is "seven billion, eight hundred seventy million, one hundred thirty-four thousand, two hundred seventy-two".