715446276480 has 1152 divisors, whose sum is σ = 2807999550720. Its totient is φ = 173981343744.

The previous prime is 715446276451. The next prime is 715446276539. The reversal of 715446276480 is 84672644517.

715446276480 is a `hidden beast` number, since 7 + 1 + 5 + 4 + 4 + 627 + 6 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 143 ways as a sum of consecutive naturals, for example, 4284109357 + ... + 4284109523.

It is an arithmetic number, because the mean of its divisors is an integer number (2437499610).

Almost surely, 2^715446276480 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 715446276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403999775360).

715446276480 is an abundant number, since it is smaller than the sum of its proper divisors (2092553274240).

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

715446276480 is a wasteful number, since it uses less digits than its factorization.

715446276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 715446276480 in words is "seven hundred fifteen billion, four hundred forty-six million, two hundred seventy-six thousand, four hundred eighty".