4668173072640 has 864 divisors, whose sum is σ = 20605267178496. Its totient is φ = 947443875840.

The previous prime is 4668173072603. The next prime is 4668173072699. The reversal of 4668173072640 is 462703718664.

4668173072640 is a `hidden beast` number, since 4 + 6 + 68 + 17 + 307 + 264 + 0 = 666.

It is a super-2 number, since 2×4668173072640² (a number of 26 digits) contains 22 as substring.

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, 38081527 + ... + 38203913.

It is an arithmetic number, because the mean of its divisors is an integer number (23848688864).

Almost surely, 2^{4668173072640} is an apocalyptic number.

4668173072640 is a gapful number since it is divisible by the number (40) 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 4668173072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10302633589248).

4668173072640 is an abundant number, since it is smaller than the sum of its proper divisors (15937094105856).

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

4668173072640 is a wasteful number, since it uses less digits than its factorization.

4668173072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122475 (or 122458 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 4668173072640 in words is "four trillion, six hundred sixty-eight billion, one hundred seventy-three million, seventy-two thousand, six hundred forty".