7467285632 has 128 divisors (see below), whose sum is σ = 16527855600. Its totient is φ = 3344302080.

The previous prime is 7467285613. The next prime is 7467285641. The reversal of 7467285632 is 2365827647.

It can be written as a sum of positive squares in 8 ways, for example, as 6055329856 + 1411955776 = 77816^2 + 37576^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4605782 + ... + 4607402.

Almost surely, 2^7467285632 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 7467285632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8263927800).

7467285632 is an abundant number, since it is smaller than the sum of its proper divisors (9060569968).

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

7467285632 is a wasteful number, since it uses less digits than its factorization.

7467285632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1742 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 50.

The square root of 7467285632 is about 86413.4574704658. The cubic root of 7467285632 is about 1954.5836186522.

The spelling of 7467285632 in words is "seven billion, four hundred sixty-seven million, two hundred eighty-five thousand, six hundred thirty-two".