7946134560 has 1536 divisors, whose sum is σ = 38407219200. Its totient is φ = 1486356480.

The previous prime is 7946134549. The next prime is 7946134591. The reversal of 7946134560 is 654316497.

7946134560 is a `hidden beast` number, since 79 + 4 + 6 + 13 + 4 + 560 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 255 ways as a sum of consecutive naturals, for example, 193808140 + ... + 193808180.

It is an arithmetic number, because the mean of its divisors is an integer number (25004700).

Almost surely, 2^7946134560 is an apocalyptic number.

7946134560 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 7946134560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19203609600).

7946134560 is an abundant number, since it is smaller than the sum of its proper divisors (30461084640).

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

7946134560 is a wasteful number, since it uses less digits than its factorization.

7946134560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 7946134560 is about 89141.0935539833. The cubic root of 7946134560 is about 1995.5011008748.

The spelling of 7946134560 in words is "seven billion, nine hundred forty-six million, one hundred thirty-four thousand, five hundred sixty".