7427633760 has 144 divisors (see below), whose sum is σ = 25704151200. Its totient is φ = 1952778240.

The previous prime is 7427633713. The next prime is 7427633771. The reversal of 7427633760 is 673367247.

7427633760 is a `hidden beast` number, since 7 + 4 + 2 + 7 + 633 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65916 + ... + 138564.

It is an arithmetic number, because the mean of its divisors is an integer number (178501050).

Almost surely, 2^7427633760 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 7427633760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12852075600).

7427633760 is an abundant number, since it is smaller than the sum of its proper divisors (18276517440).

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

7427633760 is a wasteful number, since it uses less digits than its factorization.

7427633760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72741 (or 72730 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 45.

The square root of 7427633760 is about 86183.7209686377. The cubic root of 7427633760 is about 1951.1178127545.

The spelling of 7427633760 in words is "seven billion, four hundred twenty-seven million, six hundred thirty-three thousand, seven hundred sixty".