4737392013312 has 364 divisors, whose sum is σ = 16233149871600. Its totient is φ = 1353534603264.

The previous prime is 4737392013287. The next prime is 4737392013353. The reversal of 4737392013312 is 2133102937374.

4737392013312 is a `hidden beast` number, since 47 + 3 + 73 + 9 + 201 + 331 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 20788564 + ... + 21015212.

Almost surely, 2^{4737392013312} is an apocalyptic number.

4737392013312 is a gapful number since it is divisible by the number (42) 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 4737392013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8116574935800).

4737392013312 is an abundant number, since it is smaller than the sum of its proper divisors (11495757858288).

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

4737392013312 is an frugal number, since it uses more digits than its factorization.

4737392013312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226698 (or 226661 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 45.

The spelling of 4737392013312 in words is "four trillion, seven hundred thirty-seven billion, three hundred ninety-two million, thirteen thousand, three hundred twelve".