7262970624 has 432 divisors, whose sum is σ = 26748863232. Its totient is φ = 1914015744.

The previous prime is 7262970601. The next prime is 7262970629. The reversal of 7262970624 is 4260792627.

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 7262970624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7262970629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5660287 + ... + 5661569.

Almost surely, 2^7262970624 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 7262970624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13374431616).

7262970624 is an abundant number, since it is smaller than the sum of its proper divisors (19485892608).

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

7262970624 is a wasteful number, since it uses less digits than its factorization.

7262970624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 7262970624 is about 85223.0639205139. The cubic root of 7262970624 is about 1936.5918323553.

The spelling of 7262970624 in words is "seven billion, two hundred sixty-two million, nine hundred seventy thousand, six hundred twenty-four".