715290762278400 has 960 divisors, whose sum is σ = 2946554139893760. Its totient is φ = 148602684211200.

The previous prime is 715290762278383. The next prime is 715290762278489. The reversal of 715290762278400 is 4872267092517.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 17170116771 + ... + 17170158429.

It is an arithmetic number, because the mean of its divisors is an integer number (3069327229056).

Almost surely, 2^{715290762278400} is an apocalyptic number.

715290762278400 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 715290762278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473277069946880).

715290762278400 is an abundant number, since it is smaller than the sum of its proper divisors (2231263377615360).

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

715290762278400 is a wasteful number, since it uses less digits than its factorization.

715290762278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47515 (or 47494 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 60.

The spelling of 715290762278400 in words is "seven hundred fifteen trillion, two hundred ninety billion, seven hundred sixty-two million, two hundred seventy-eight thousand, four hundred".