4686757796160 has 1792 divisors, whose sum is σ = 19348645478400. Its totient is φ = 1070475264000.

The previous prime is 4686757796131. The next prime is 4686757796239. The reversal of 4686757796160 is 616977576864.

It is a happy number.

4686757796160 is a `hidden beast` number, since 46 + 8 + 6 + 7 + 577 + 9 + 6 + 1 + 6 + 0 = 666.

It is a super-2 number, since 2×4686757796160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9784462801 + ... + 9784463279.

It is an arithmetic number, because the mean of its divisors is an integer number (10797235200).

Almost surely, 2^{4686757796160} is an apocalyptic number.

4686757796160 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 4686757796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9674322739200).

4686757796160 is an abundant number, since it is smaller than the sum of its proper divisors (14661887682240).

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

4686757796160 is a wasteful number, since it uses less digits than its factorization.

4686757796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 4686757796160 in words is "four trillion, six hundred eighty-six billion, seven hundred fifty-seven million, seven hundred ninety-six thousand, one hundred sixty".