4684672661760 has 3456 divisors, whose sum is σ = 22559041290240. Its totient is φ = 902961561600.

The previous prime is 4684672661723. The next prime is 4684672661761. The reversal of 4684672661760 is 671662764864.

It is a happy number.

4684672661760 is a `hidden beast` number, since 4 + 6 + 8 + 4 + 6 + 7 + 2 + 6 + 617 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 (4684672661761) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16671432820 + ... + 16671433100.

Almost surely, 2^{4684672661760} is an apocalyptic number.

4684672661760 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 4684672661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11279520645120).

4684672661760 is an abundant number, since it is smaller than the sum of its proper divisors (17874368628480).

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

4684672661760 is a wasteful number, since it uses less digits than its factorization.

4684672661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 4684672661760 in words is "four trillion, six hundred eighty-four billion, six hundred seventy-two million, six hundred sixty-one thousand, seven hundred sixty".