8972354664 has 512 divisors, whose sum is σ = 32124288000. Its totient is φ = 2270840832.

The previous prime is 8972354659. The next prime is 8972354771. The reversal of 8972354664 is 4664532798.

8972354664 is a `hidden beast` number, since 8 + 97 + 2 + 3 + 546 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

Its product of digits (8709120) is a multiple of the sum of its prime divisors (135).

It is a self number, because there is not a number n which added to its sum of digits gives 8972354664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 122908932 + ... + 122909004.

It is an arithmetic number, because the mean of its divisors is an integer number (62742750).

Almost surely, 2^8972354664 is an apocalyptic number.

8972354664 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 8972354664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16062144000).

8972354664 is an abundant number, since it is smaller than the sum of its proper divisors (23151933336).

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

8972354664 is a wasteful number, since it uses less digits than its factorization.

8972354664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 135 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 8972354664 is about 94722.5140291367. The cubic root of 8972354664 is about 2077.9518380173.

The spelling of 8972354664 in words is "eight billion, nine hundred seventy-two million, three hundred fifty-four thousand, six hundred sixty-four".