4736742113700 has 864 divisors, whose sum is σ = 16320715407360. Its totient is φ = 1189839974400.

The previous prime is 4736742113639. The next prime is 4736742113713. The reversal of 4736742113700 is 73112476374.

It is a happy number.

4736742113700 is a `hidden beast` number, since 4 + 7 + 3 + 67 + 4 + 211 + 370 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12498000111 + ... + 12498000489.

Almost surely, 2^{4736742113700} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4736742113700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8160357703680).

4736742113700 is an abundant number, since it is smaller than the sum of its proper divisors (11583973293660).

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

4736742113700 is a wasteful number, since it uses less digits than its factorization.

4736742113700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The spelling of 4736742113700 in words is "four trillion, seven hundred thirty-six billion, seven hundred forty-two million, one hundred thirteen thousand, seven hundred".