712268481600 has 567 divisors, whose sum is σ = 2746362684429. Its totient is φ = 175003545600.

The previous prime is 712268481581. The next prime is 712268481629. The reversal of 712268481600 is 6184862217.

The square root of 712268481600 is 843960.

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

712268481600 is a `hidden beast` number, since 7 + 12 + 26 + 8 + 4 + 8 + 1 + 600 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 696477040704 + 15791440896 = 834552^2 + 125664^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1316577330 + ... + 1316577870.

Almost surely, 2^712268481600 is an apocalyptic number.

712268481600 is the 843960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712268481600

712268481600 is an abundant number, since it is smaller than the sum of its proper divisors (2034094202829).

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

712268481600 is a wasteful number, since it uses less digits than its factorization.

712268481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 712268481600 in words is "seven hundred twelve billion, two hundred sixty-eight million, four hundred eighty-one thousand, six hundred".