4765009738104 has 384 divisors, whose sum is σ = 17680934880000. Its totient is φ = 1172524066560.

The previous prime is 4765009737931. The next prime is 4765009738129. The reversal of 4765009738104 is 4018379005674.

4765009738104 is a `hidden beast` number, since 4 + 7 + 6 + 500 + 97 + 38 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1135002 + ... + 3289110.

It is an arithmetic number, because the mean of its divisors is an integer number (46044101250).

Almost surely, 2^{4765009738104} is an apocalyptic number.

4765009738104 is a gapful number since it is divisible by the number (44) 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 4765009738104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8840467440000).

4765009738104 is an abundant number, since it is smaller than the sum of its proper divisors (12915925141896).

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

4765009738104 is a wasteful number, since it uses less digits than its factorization.

4765009738104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154168 (or 2154151 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 4765009738104 in words is "four trillion, seven hundred sixty-five billion, nine million, seven hundred thirty-eight thousand, one hundred four".