727465190400 has 1056 divisors, whose sum is σ = 3029081820800. Its totient is φ = 169603891200.

The previous prime is 727465190393. The next prime is 727465190411. The reversal of 727465190400 is 4091564727.

727465190400 is a `hidden beast` number, since 72 + 7 + 46 + 51 + 90 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170724270 + ... + 170728530.

Almost surely, 2^727465190400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 727465190400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514540910400).

727465190400 is an abundant number, since it is smaller than the sum of its proper divisors (2301616630400).

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

727465190400 is a wasteful number, since it uses less digits than its factorization.

727465190400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4332 (or 4303 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 727465190400 in words is "seven hundred twenty-seven billion, four hundred sixty-five million, one hundred ninety thousand, four hundred".