71620464400 has 45 divisors (see below), whose sum is σ = 172081025823. Its totient is φ = 28646044800.

The previous prime is 71620464397. The next prime is 71620464407. The reversal of 71620464400 is 446402617.

The square root of 71620464400 is 267620.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20912630544 + 50707833856 = 144612^2 + 225184^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (71620464407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5345710 + ... + 5359090.

Almost surely, 2^71620464400 is an apocalyptic number.

71620464400 is the 267620-th square number.

It is an amenable number.

71620464400 is an abundant number, since it is smaller than the sum of its proper divisors (100460561423).

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

71620464400 is an frugal number, since it uses more digits than its factorization.

71620464400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26780 (or 13388 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 71620464400 in words is "seventy-one billion, six hundred twenty million, four hundred sixty-four thousand, four hundred".