8940691468800 has 2160 divisors, whose sum is σ = 40656666009960. Its totient is φ = 1859431956480.

The previous prime is 8940691468799. The next prime is 8940691468823. The reversal of 8940691468800 is 88641960498.

8940691468800 is a `hidden beast` number, since 8 + 9 + 4 + 0 + 6 + 91 + 468 + 80 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 100392655104 + 8840298813696 = 316848^2 + 2973264^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5356914366 + ... + 5356916034.

Almost surely, 2^{8940691468800} is an apocalyptic number.

8940691468800 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 8940691468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20328333004980).

8940691468800 is an abundant number, since it is smaller than the sum of its proper divisors (31715974541160).

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

8940691468800 is a wasteful number, since it uses less digits than its factorization.

8940691468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1772 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 8940691468800 in words is "eight trillion, nine hundred forty billion, six hundred ninety-one million, four hundred sixty-eight thousand, eight hundred".