8692992000 has 1152 divisors, whose sum is σ = 39862368000. Its totient is φ = 1806336000.

The previous prime is 8692991999. The next prime is 8692992017. The reversal of 8692992000 is 2992968.

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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 790271995 + ... + 790272005.

It is an arithmetic number, because the mean of its divisors is an integer number (34602750).

Almost surely, 2^8692992000 is an apocalyptic number.

8692992000 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 8692992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19931184000).

8692992000 is an abundant number, since it is smaller than the sum of its proper divisors (31169376000).

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

8692992000 is a wasteful number, since it uses less digits than its factorization.

8692992000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 8692992000 is about 93236.2161394380. The cubic root of 8692992000 is about 2056.1577293740.

It can be divided in two parts, 86929 and 92000, that added together give a square (178929 = 423²).

The spelling of 8692992000 in words is "eight billion, six hundred ninety-two million, nine hundred ninety-two thousand".