916972476840 has 384 divisors, whose sum is σ = 3440154032640. Its totient is φ = 207490203648.

The previous prime is 916972476817. The next prime is 916972476863. The reversal of 916972476840 is 48674279619.

916972476840 is a `hidden beast` number, since 9 + 16 + 9 + 72 + 476 + 84 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (916972476817) and next prime (916972476863).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 348260164 + ... + 348262796.

It is an arithmetic number, because the mean of its divisors is an integer number (8958734460).

Almost surely, 2^916972476840 is an apocalyptic number.

916972476840 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 916972476840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720077016320).

916972476840 is an abundant number, since it is smaller than the sum of its proper divisors (2523181555800).

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

916972476840 is a wasteful number, since it uses less digits than its factorization.

916972476840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3993 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 916972476840 in words is "nine hundred sixteen billion, nine hundred seventy-two million, four hundred seventy-six thousand, eight hundred forty".