727052754562400 has 432 divisors, whose sum is σ = 2155703261723424. Its totient is φ = 238300641976320.

The previous prime is 727052754562391. The next prime is 727052754562441. The reversal of 727052754562400 is 4265457250727.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1580274794 + ... + 1580734806.

It is an arithmetic number, because the mean of its divisors is an integer number (4990053846582).

Almost surely, 2^{727052754562400} is an apocalyptic number.

727052754562400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 727052754562400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077851630861712).

727052754562400 is an abundant number, since it is smaller than the sum of its proper divisors (1428650507161024).

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

727052754562400 is a wasteful number, since it uses less digits than its factorization.

727052754562400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461823 (or 461803 counting only the distinct ones).

The product of its (nonzero) digits is 32928000, while the sum is 56.

The spelling of 727052754562400 in words is "seven hundred twenty-seven trillion, fifty-two billion, seven hundred fifty-four million, five hundred sixty-two thousand, four hundred".