7201134864 has 180 divisors, whose sum is σ = 25574992560. Its totient is φ = 1870404480.

The previous prime is 7201134799. The next prime is 7201134869. The reversal of 7201134864 is 4684311027.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (7201134869) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31227 + ... + 124005.

It is an arithmetic number, because the mean of its divisors is an integer number (142083292).

Almost surely, 2^7201134864 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 7201134864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12787496280).

7201134864 is an abundant number, since it is smaller than the sum of its proper divisors (18373857696).

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

7201134864 is a wasteful number, since it uses less digits than its factorization.

7201134864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92818 (or 92802 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7201134864 is about 84859.5007291464. The cubic root of 7201134864 is about 1931.0802175059.

The spelling of 7201134864 in words is "seven billion, two hundred one million, one hundred thirty-four thousand, eight hundred sixty-four".