7631207351296 has 99 divisors (see below), whose sum is σ = 15374461450341. Its totient is φ = 3785945862144.

The previous prime is 7631207351227. The next prime is 7631207351303. The reversal of 7631207351296 is 6921537021367.

The square root of 7631207351296 is 2762464.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6941749478400 + 689457872896 = 2634720^2 + 830336^2 .

It is a super-3 number, since 3×7631207351296³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15293000455 + ... + 15293000953.

Almost surely, 2^{7631207351296} is an apocalyptic number.

7631207351296 is the 2762464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7631207351296

7631207351296 is an abundant number, since it is smaller than the sum of its proper divisors (7743254099045).

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

7631207351296 is an frugal number, since it uses more digits than its factorization.

7631207351296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 52.

The spelling of 7631207351296 in words is "seven trillion, six hundred thirty-one billion, two hundred seven million, three hundred fifty-one thousand, two hundred ninety-six".