940663075968 has 1152 divisors, whose sum is σ = 3674541024000. Its totient is φ = 235753943040.

The previous prime is 940663075967. The next prime is 940663075987. The reversal of 940663075968 is 869570366049.

940663075968 is a `hidden beast` number, since 9 + 4 + 0 + 6 + 6 + 30 + 7 + 596 + 8 = 666.

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 (63).

It is not an unprimeable number, because it can be changed into a prime (940663075967) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 594227305 + ... + 594228887.

It is an arithmetic number, because the mean of its divisors is an integer number (3189705750).

Almost surely, 2^940663075968 is an apocalyptic number.

940663075968 is a gapful number since it is divisible by the number (98) 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 940663075968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837270512000).

940663075968 is an abundant number, since it is smaller than the sum of its proper divisors (2733877948032).

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

940663075968 is a wasteful number, since it uses less digits than its factorization.

940663075968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671 (or 1635 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 940663075968 in words is "nine hundred forty billion, six hundred sixty-three million, seventy-five thousand, nine hundred sixty-eight".