7505551872 has 360 divisors, whose sum is σ = 27147035916. Its totient is φ = 1978712064.

The previous prime is 7505551841. The next prime is 7505551873. The reversal of 7505551872 is 2781555057.

It can be written as a sum of positive squares in 2 ways, for example, as 7112560896 + 392990976 = 84336^2 + 19824^2 .

It is not an unprimeable number, because it can be changed into a prime (7505551873) 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, 2934018 + ... + 2936574.

Almost surely, 2^7505551872 is an apocalyptic number.

7505551872 is a gapful number since it is divisible by the number (72) 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 7505551872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13573517958).

7505551872 is an abundant number, since it is smaller than the sum of its proper divisors (19641484044).

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

7505551872 is a wasteful number, since it uses less digits than its factorization.

7505551872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 490000, while the sum is 45.

The square root of 7505551872 is about 86634.5881966320. The cubic root of 7505551872 is about 1957.9166979883.

The spelling of 7505551872 in words is "seven billion, five hundred five million, five hundred fifty-one thousand, eight hundred seventy-two".