971468386560 has 648 divisors, whose sum is σ = 3916038934080. Its totient is φ = 221704003584.

The previous prime is 971468386523. The next prime is 971468386573. The reversal of 971468386560 is 65683864179.

971468386560 is a `hidden beast` number, since 9 + 7 + 1 + 4 + 68 + 3 + 8 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 600041431 + ... + 600043049.

It is an arithmetic number, because the mean of its divisors is an integer number (6043269960).

Almost surely, 2^971468386560 is an apocalyptic number.

971468386560 is a gapful number since it is divisible by the number (90) 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 971468386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958019467040).

971468386560 is an abundant number, since it is smaller than the sum of its proper divisors (2944570547520).

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

971468386560 is a wasteful number, since it uses less digits than its factorization.

971468386560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 971468386560 in words is "nine hundred seventy-one billion, four hundred sixty-eight million, three hundred eighty-six thousand, five hundred sixty".