7306642512 has 120 divisors (see below), whose sum is σ = 22085789544. Its totient is φ = 2241626112.

The previous prime is 7306642493. The next prime is 7306642547. The reversal of 7306642512 is 2152466037.

7306642512 is a `hidden beast` number, since 7 + 3 + 0 + 6 + 642 + 5 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2547216 + 7304095296 = 1596^2 + 85464^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 655288 + ... + 666344.

Almost surely, 2^7306642512 is an apocalyptic number.

7306642512 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 7306642512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11042894772).

7306642512 is an abundant number, since it is smaller than the sum of its proper divisors (14779147032).

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

7306642512 is a wasteful number, since it uses less digits than its factorization.

7306642512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11437 (or 11428 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 7306642512 is about 85478.9009756209. The cubic root of 7306642512 is about 1940.4656224624.

The spelling of 7306642512 in words is "seven billion, three hundred six million, six hundred forty-two thousand, five hundred twelve".