970639338240 has 1152 divisors, whose sum is σ = 4259983795200. Its totient is φ = 205754204160.

The previous prime is 970639338197. The next prime is 970639338269. The reversal of 970639338240 is 42833936079.

970639338240 is a `hidden beast` number, since 9 + 7 + 0 + 6 + 393 + 3 + 8 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93894352 + ... + 93904688.

It is an arithmetic number, because the mean of its divisors is an integer number (3697902600).

Almost surely, 2^970639338240 is an apocalyptic number.

970639338240 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 970639338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129991897600).

970639338240 is an abundant number, since it is smaller than the sum of its proper divisors (3289344456960).

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

970639338240 is a wasteful number, since it uses less digits than its factorization.

970639338240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10410 (or 10390 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 970639338240 in words is "nine hundred seventy billion, six hundred thirty-nine million, three hundred thirty-eight thousand, two hundred forty".