32972401465600 has 81 divisors (see below), whose sum is σ = 81612982600387. Its totient is φ = 13188776837120.

The previous prime is 32972401465583. The next prime is 32972401465643. The reversal of 32972401465600 is 656410427923.

The square root of 32972401465600 is 5742160.

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 66300070144 + 32906101395456 = 257488^2 + 5736384^2 .

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, 459336912 + ... + 459408688.

Almost surely, 2^{32972401465600} is an apocalyptic number.

32972401465600 is the 5742160-th square number.

It is an amenable number.

32972401465600 is an abundant number, since it is smaller than the sum of its proper divisors (48640581134787).

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

32972401465600 is an frugal number, since it uses more digits than its factorization.

32972401465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143580 (or 71784 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 49.

The spelling of 32972401465600 in words is "thirty-two trillion, nine hundred seventy-two billion, four hundred one million, four hundred sixty-five thousand, six hundred".