7133736960 has 832 divisors, whose sum is σ = 30824371200. Its totient is φ = 1528823808.

The previous prime is 7133736947. The next prime is 7133736989. The reversal of 7133736960 is 696373317.

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 63 ways as a sum of consecutive naturals, for example, 73543632 + ... + 73543728.

Almost surely, 2^7133736960 is an apocalyptic number.

7133736960 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 7133736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15412185600).

7133736960 is an abundant number, since it is smaller than the sum of its proper divisors (23690634240).

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

7133736960 is a wasteful number, since it uses less digits than its factorization.

7133736960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 45.

The square root of 7133736960 is about 84461.4525094140. The cubic root of 7133736960 is about 1925.0367753698.

The spelling of 7133736960 in words is "seven billion, one hundred thirty-three million, seven hundred thirty-six thousand, nine hundred sixty".