4637385664680 has 256 divisors, whose sum is σ = 15514263072000. Its totient is φ = 1102034239488.

The previous prime is 4637385664669. The next prime is 4637385664693. The reversal of 4637385664680 is 864665837364.

It is a Cunningham number, because it is equal to 2153459²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73185972 + ... + 73249308.

It is an arithmetic number, because the mean of its divisors is an integer number (60602590125).

Almost surely, 2^{4637385664680} is an apocalyptic number.

4637385664680 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 4637385664680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7757131536000).

4637385664680 is an abundant number, since it is smaller than the sum of its proper divisors (10876877407320).

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

4637385664680 is a wasteful number, since it uses less digits than its factorization.

4637385664680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65276 (or 65272 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 66.

The spelling of 4637385664680 in words is "four trillion, six hundred thirty-seven billion, three hundred eighty-five million, six hundred sixty-four thousand, six hundred eighty".