8970424320 has 416 divisors, whose sum is σ = 33752686464. Its totient is φ = 2005401600.

The previous prime is 8970424319. The next prime is 8970424321. The reversal of 8970424320 is 234240798.

It is an interprime number because it is at equal distance from previous prime (8970424319) and next prime (8970424321).

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8970424321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8785410 + ... + 8786430.

Almost surely, 2^8970424320 is an apocalyptic number.

8970424320 is a gapful number since it is divisible by the number (80) 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 8970424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16876343232).

8970424320 is an abundant number, since it is smaller than the sum of its proper divisors (24782262144).

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

8970424320 is a wasteful number, since it uses less digits than its factorization.

8970424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 8970424320 is about 94712.3240132983. The cubic root of 8970424320 is about 2077.8028080356.

The spelling of 8970424320 in words is "eight billion, nine hundred seventy million, four hundred twenty-four thousand, three hundred twenty".