972787875840 has 816 divisors, whose sum is σ = 3721694985216. Its totient is φ = 233098444800.

The previous prime is 972787875833. The next prime is 972787875863. The reversal of 972787875840 is 48578787279.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5093130145 + ... + 5093130335.

Almost surely, 2^972787875840 is an apocalyptic number.

972787875840 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 972787875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860847492608).

972787875840 is an abundant number, since it is smaller than the sum of its proper divisors (2748907109376).

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

972787875840 is a wasteful number, since it uses less digits than its factorization.

972787875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 442552320, while the sum is 72.

The spelling of 972787875840 in words is "nine hundred seventy-two billion, seven hundred eighty-seven million, eight hundred seventy-five thousand, eight hundred forty".