4694905991160 has 2560 divisors, whose sum is σ = 21304896307200. Its totient is φ = 906271027200.

The previous prime is 4694905991159. The next prime is 4694905991201. The reversal of 4694905991160 is 611995094964.

4694905991160 is a `hidden beast` number, since 4 + 6 + 9 + 490 + 59 + 91 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 27138184834 + ... + 27138185006.

It is an arithmetic number, because the mean of its divisors is an integer number (8322225120).

Almost surely, 2^{4694905991160} is an apocalyptic number.

4694905991160 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 4694905991160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10652448153600).

4694905991160 is an abundant number, since it is smaller than the sum of its proper divisors (16609990316040).

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

4694905991160 is a wasteful number, since it uses less digits than its factorization.

4694905991160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 4694905991160 in words is "four trillion, six hundred ninety-four billion, nine hundred five million, nine hundred ninety-one thousand, one hundred sixty".