970264310400 has 3072 divisors, whose sum is σ = 4904428953600. Its totient is φ = 181016985600.

The previous prime is 970264310399. The next prime is 970264310401. The reversal of 970264310400 is 4013462079.

970264310400 is a `hidden beast` number, since 9 + 7 + 0 + 2 + 643 + 1 + 0 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (970264310399) and next prime (970264310401).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (970264310401) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2601244614 + ... + 2601244986.

It is an arithmetic number, because the mean of its divisors is an integer number (1596493800).

Almost surely, 2^970264310400 is an apocalyptic number.

970264310400 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 970264310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2452214476800).

970264310400 is an abundant number, since it is smaller than the sum of its proper divisors (3934164643200).

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

970264310400 is a wasteful number, since it uses less digits than its factorization.

970264310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Adding to 970264310400 its reverse (4013462079), we get a palindrome (974277772479).

The spelling of 970264310400 in words is "nine hundred seventy billion, two hundred sixty-four million, three hundred ten thousand, four hundred".