8402918696640 has 1344 divisors, whose sum is σ = 33147828080640. Its totient is φ = 1938779504640.

The previous prime is 8402918696489. The next prime is 8402918696701. The reversal of 8402918696640 is 466968192048.

8402918696640 is a `hidden beast` number, since 8 + 402 + 9 + 1 + 86 + 96 + 64 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17993401687 + ... + 17993402153.

It is an arithmetic number, because the mean of its divisors is an integer number (24663562560).

Almost surely, 2^{8402918696640} is an apocalyptic number.

8402918696640 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 8402918696640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16573914040320).

8402918696640 is an abundant number, since it is smaller than the sum of its proper divisors (24744909384000).

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

8402918696640 is a wasteful number, since it uses less digits than its factorization.

8402918696640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 8402918696640 in words is "eight trillion, four hundred two billion, nine hundred eighteen million, six hundred ninety-six thousand, six hundred forty".