8973700452864 has 1680 divisors, whose sum is σ = 32695502499000. Its totient is φ = 2450035703808.

The previous prime is 8973700452863. The next prime is 8973700452869. The reversal of 8973700452864 is 4682540073798.

8973700452864 is a `hidden beast` number, since 8 + 97 + 37 + 0 + 0 + 452 + 8 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6529455878400 + 2444244574464 = 2555280^2 + 1563408^2 .

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

It is not an unprimeable number, because it can be changed into a prime (8973700452863) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 60226177462 + ... + 60226177610.

Almost surely, 2^{8973700452864} is an apocalyptic number.

8973700452864 is a gapful number since it is divisible by the number (84) 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 8973700452864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16347751249500).

8973700452864 is an abundant number, since it is smaller than the sum of its proper divisors (23721802046136).

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

8973700452864 is an equidigital number, since it uses as much as digits as its factorization.

8973700452864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 8973700452864 in words is "eight trillion, nine hundred seventy-three billion, seven hundred million, four hundred fifty-two thousand, eight hundred sixty-four".