7948037160 has 384 divisors, whose sum is σ = 30371328000. Its totient is φ = 1801820160.

The previous prime is 7948037143. The next prime is 7948037173. The reversal of 7948037160 is 617308497.

7948037160 is a `hidden beast` number, since 7 + 9 + 480 + 3 + 7 + 160 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23584512 + ... + 23584848.

It is an arithmetic number, because the mean of its divisors is an integer number (79092000).

Almost surely, 2^7948037160 is an apocalyptic number.

7948037160 is a gapful number since it is divisible by the number (70) 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 7948037160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15185664000).

7948037160 is an abundant number, since it is smaller than the sum of its proper divisors (22423290840).

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

7948037160 is a wasteful number, since it uses less digits than its factorization.

7948037160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 7948037160 is about 89151.7647609962. The cubic root of 7948037160 is about 1995.6603538797.

The spelling of 7948037160 in words is "seven billion, nine hundred forty-eight million, thirty-seven thousand, one hundred sixty".