909979416000 has 672 divisors, whose sum is σ = 3346975247616. Its totient is φ = 235872000000.

The previous prime is 909979415999. The next prime is 909979416001. The reversal of 909979416000 is 614979909.

It is an interprime number because it is at equal distance from previous prime (909979415999) and next prime (909979416001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (909979416001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 777095415 + ... + 777096585.

It is an arithmetic number, because the mean of its divisors is an integer number (4980617928).

Almost surely, 2^909979416000 is an apocalyptic number.

909979416000 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 909979416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673487623808).

909979416000 is an abundant number, since it is smaller than the sum of its proper divisors (2436995831616).

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

909979416000 is a wasteful number, since it uses less digits than its factorization.

909979416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 909979416000 in words is "nine hundred nine billion, nine hundred seventy-nine million, four hundred sixteen thousand".