732770240400 has 405 divisors, whose sum is σ = 2797263042483. Its totient is φ = 177504307200.

The previous prime is 732770240369. The next prime is 732770240431. The reversal of 732770240400 is 4042077237.

The square root of 732770240400 is 856020.

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

732770240400 is a `hidden beast` number, since 7 + 3 + 2 + 7 + 7 + 0 + 240 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (732770240369) and next prime (732770240431).

It can be written as a sum of positive squares in 4 ways, for example, as 225438838416 + 507331401984 = 474804^2 + 712272^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 564972552 + ... + 564973848.

Almost surely, 2^732770240400 is an apocalyptic number.

732770240400 is the 856020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 732770240400

732770240400 is an abundant number, since it is smaller than the sum of its proper divisors (2064492802083).

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

732770240400 is a wasteful number, since it uses less digits than its factorization.

732770240400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2640 (or 1318 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

Multiplying 732770240400 by its sum of digits (36), we get a square (26379728654400 = 5136120²).

732770240400 divided by its sum of digits (36) gives a square (20354728900 = 142670²).

The spelling of 732770240400 in words is "seven hundred thirty-two billion, seven hundred seventy million, two hundred forty thousand, four hundred".