8970998400 has 1152 divisors, whose sum is σ = 41381726400. Its totient is φ = 1881169920.

The previous prime is 8970998381. The next prime is 8970998419. The reversal of 8970998400 is 48990798.

8970998400 is a `hidden beast` number, since 89 + 70 + 9 + 98 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (8970998381) and next prime (8970998419).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55036719 + ... + 55036881.

Almost surely, 2^8970998400 is an apocalyptic number.

8970998400 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 8970998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20690863200).

8970998400 is an abundant number, since it is smaller than the sum of its proper divisors (32410728000).

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

8970998400 is a wasteful number, since it uses less digits than its factorization.

8970998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 8970998400 is about 94715.3546158172. The cubic root of 8970998400 is about 2077.8471314532.

The spelling of 8970998400 in words is "eight billion, nine hundred seventy million, nine hundred ninety-eight thousand, four hundred".