7534616712 has 288 divisors, whose sum is σ = 23229050400. Its totient is φ = 2029870080.

The previous prime is 7534616711. The next prime is 7534616723. The reversal of 7534616712 is 2176164357.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (7534616711) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66677968 + ... + 66678080.

It is an arithmetic number, because the mean of its divisors is an integer number (80656425).

Almost surely, 2^7534616712 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 7534616712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11614525200).

7534616712 is an abundant number, since it is smaller than the sum of its proper divisors (15694433688).

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

7534616712 is a wasteful number, since it uses less digits than its factorization.

7534616712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 215 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 7534616712 is about 86802.1699728757. The cubic root of 7534616712 is about 1960.4407512196.

The spelling of 7534616712 in words is "seven billion, five hundred thirty-four million, six hundred sixteen thousand, seven hundred twelve".