7632467712 has 108 divisors (see below), whose sum is σ = 22032492664. Its totient is φ = 2541127680.

The previous prime is 7632467699. The next prime is 7632467723. The reversal of 7632467712 is 2177642367.

7632467712 is a `hidden beast` number, since 7 + 632 + 4 + 6 + 7 + 7 + 1 + 2 = 666.

It is a super-3 number, since 3×7632467712³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2793387 + ... + 2796117.

Almost surely, 2^7632467712 is an apocalyptic number.

7632467712 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 7632467712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11016246332).

7632467712 is an abundant number, since it is smaller than the sum of its proper divisors (14400024952).

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

7632467712 is a wasteful number, since it uses less digits than its factorization.

7632467712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3949 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The square root of 7632467712 is about 87363.9955130258. The cubic root of 7632467712 is about 1968.8909311298.

The spelling of 7632467712 in words is "seven billion, six hundred thirty-two million, four hundred sixty-seven thousand, seven hundred twelve".