8960192640 has 768 divisors, whose sum is σ = 37425024000. Its totient is φ = 1932263424.

The previous prime is 8960192623. The next prime is 8960192693. The reversal of 8960192640 is 462910698.

It is a happy number.

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 95 ways as a sum of consecutive naturals, for example, 92373072 + ... + 92373168.

It is an arithmetic number, because the mean of its divisors is an integer number (48730500).

Almost surely, 2^8960192640 is an apocalyptic number.

8960192640 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 8960192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18712512000).

8960192640 is an abundant number, since it is smaller than the sum of its proper divisors (28464831360).

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

8960192640 is a wasteful number, since it uses less digits than its factorization.

8960192640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 8960192640 is about 94658.2940898472. The cubic root of 8960192640 is about 2077.0125257835.

The spelling of 8960192640 in words is "eight billion, nine hundred sixty million, one hundred ninety-two thousand, six hundred forty".