7856497152 has 560 divisors, whose sum is σ = 28051871232. Its totient is φ = 2149908480.

The previous prime is 7856497141. The next prime is 7856497153. The reversal of 7856497152 is 2517946587.

7856497152 is a `hidden beast` number, since 7 + 8 + 564 + 9 + 71 + 5 + 2 = 666.

It is a super-2 number, since 2×7856497152² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4233600) is a multiple of the sum of its prime divisors (140).

It is not an unprimeable number, because it can be changed into a prime (7856497153) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 80994768 + ... + 80994864.

Almost surely, 2^7856497152 is an apocalyptic number.

7856497152 is a gapful number since it is divisible by the number (72) 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 7856497152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14025935616).

7856497152 is an abundant number, since it is smaller than the sum of its proper divisors (20195374080).

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

7856497152 is an frugal number, since it uses more digits than its factorization.

7856497152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 140 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The square root of 7856497152 is about 88636.8836997330. The cubic root of 7856497152 is about 1987.9692044237.

The spelling of 7856497152 in words is "seven billion, eight hundred fifty-six million, four hundred ninety-seven thousand, one hundred fifty-two".