5970512830464 has 1344 divisors, whose sum is σ = 22986520187904. Its totient is φ = 1505127038976.

The previous prime is 5970512830459. The next prime is 5970512830481. The reversal of 5970512830464 is 4640382150795.

It is a happy number.

5970512830464 is a `hidden beast` number, since 5 + 9 + 7 + 0 + 512 + 83 + 0 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 5970512830464.

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, 4166442292 + ... + 4166443724.

It is an arithmetic number, because the mean of its divisors is an integer number (17103065616).

It is a 1-persistent number, because it is pandigital, but 2⋅5970512830464 = 11941025660928 is not.

Almost surely, 2^{5970512830464} is an apocalyptic number.

5970512830464 is a gapful number since it is divisible by the number (54) 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 5970512830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11493260093952).

5970512830464 is an abundant number, since it is smaller than the sum of its proper divisors (17016007357440).

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

5970512830464 is a wasteful number, since it uses less digits than its factorization.

5970512830464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 5970512830464 in words is "five trillion, nine hundred seventy billion, five hundred twelve million, eight hundred thirty thousand, four hundred sixty-four".