8902651680 has 480 divisors, whose sum is σ = 34508772144. Its totient is φ = 2147917824.

The previous prime is 8902651669. The next prime is 8902651691. The reversal of 8902651680 is 861562098.

It is an interprime number because it is at equal distance from previous prime (8902651669) and next prime (8902651691).

It can be written as a sum of positive squares in 8 ways, for example, as 4892722704 + 4009928976 = 69948^2 + 63324^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8928942 + ... + 8929938.

Almost surely, 2^8902651680 is an apocalyptic number.

8902651680 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 8902651680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17254386072).

8902651680 is an abundant number, since it is smaller than the sum of its proper divisors (25606120464).

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

8902651680 is a wasteful number, since it uses less digits than its factorization.

8902651680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 8902651680 is about 94353.8641498058. The cubic root of 8902651680 is about 2072.5568908046.

The spelling of 8902651680 in words is "eight billion, nine hundred two million, six hundred fifty-one thousand, six hundred eighty".