970682419980 has 1152 divisors, whose sum is σ = 4014075985920. Its totient is φ = 191173893120.

The previous prime is 970682419951. The next prime is 970682419991. The reversal of 970682419980 is 89914286079.

970682419980 is a `hidden beast` number, since 9 + 70 + 68 + 2 + 419 + 98 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 596607927 + ... + 596609553.

It is an arithmetic number, because the mean of its divisors is an integer number (3484440960).

Almost surely, 2^970682419980 is an apocalyptic number.

970682419980 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 970682419980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007037992960).

970682419980 is an abundant number, since it is smaller than the sum of its proper divisors (3043393565940).

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

970682419980 is a wasteful number, since it uses less digits than its factorization.

970682419980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 63.

The spelling of 970682419980 in words is "nine hundred seventy billion, six hundred eighty-two million, four hundred nineteen thousand, nine hundred eighty".