970466918400 has 864 divisors, whose sum is σ = 4077519022080. Its totient is φ = 221679452160.

The previous prime is 970466918387. The next prime is 970466918401. The reversal of 970466918400 is 4819664079.

970466918400 is a `hidden beast` number, since 97 + 0 + 4 + 66 + 91 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970466918401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619314417 + ... + 619315983.

It is an arithmetic number, because the mean of its divisors is an integer number (4719350720).

Almost surely, 2^970466918400 is an apocalyptic number.

970466918400 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 970466918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038759511040).

970466918400 is an abundant number, since it is smaller than the sum of its proper divisors (3107052103680).

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

970466918400 is an equidigital number, since it uses as much as digits as its factorization.

970466918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1584 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 970466918400 in words is "nine hundred seventy billion, four hundred sixty-six million, nine hundred eighteen thousand, four hundred".