970244005256064 has 3840 divisors, whose sum is σ = 3852801389606400. Its totient is φ = 236895031296000.

The previous prime is 970244005256023. The next prime is 970244005256087. The reversal of 970244005256064 is 460652500442079.

970244005256064 is a `hidden beast` number, since 9 + 7 + 0 + 2 + 4 + 4 + 0 + 0 + 5 + 25 + 606 + 4 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 970244005256064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1723346367847 + ... + 1723346368409.

It is an arithmetic number, because the mean of its divisors is an integer number (1003333695210).

Almost surely, 2^{970244005256064} 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 970244005256064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926400694803200).

970244005256064 is an abundant number, since it is smaller than the sum of its proper divisors (2882557384350336).

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

970244005256064 is a wasteful number, since it uses less digits than its factorization.

970244005256064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 970244005256064 in words is "nine hundred seventy trillion, two hundred forty-four billion, five million, two hundred fifty-six thousand, sixty-four".