969789300480 has 3456 divisors, whose sum is σ = 4959020021760. Its totient is φ = 173266698240.

The previous prime is 969789300479. The next prime is 969789300517. The reversal of 969789300480 is 84003987969.

969789300480 is a `hidden beast` number, since 9 + 69 + 7 + 8 + 93 + 0 + 0 + 480 = 666.

969789300480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

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, 9997827792 + ... + 9997827888.

Almost surely, 2^969789300480 is an apocalyptic number.

969789300480 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 969789300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479510010880).

969789300480 is an abundant number, since it is smaller than the sum of its proper divisors (3989230721280).

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

969789300480 is a wasteful number, since it uses less digits than its factorization.

969789300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 969789300480 in words is "nine hundred sixty-nine billion, seven hundred eighty-nine million, three hundred thousand, four hundred eighty".