4712487665600 has 1344 divisors, whose sum is σ = 14863763658240. Its totient is φ = 1452839731200.

The previous prime is 4712487665593. The next prime is 4712487665621. The reversal of 4712487665600 is 65667842174.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 44041940747 + ... + 44041940853.

It is an arithmetic number, because the mean of its divisors is an integer number (11059347960).

Almost surely, 2^{4712487665600} is an apocalyptic number.

4712487665600 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 4712487665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7431881829120).

4712487665600 is an abundant number, since it is smaller than the sum of its proper divisors (10151275992640).

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

4712487665600 is a wasteful number, since it uses less digits than its factorization.

4712487665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 56.

The spelling of 4712487665600 in words is "four trillion, seven hundred twelve billion, four hundred eighty-seven million, six hundred sixty-five thousand, six hundred".