4740879386100 has 2304 divisors, whose sum is σ = 18384743301120. Its totient is φ = 926069760000.

The previous prime is 4740879386083. The next prime is 4740879386107. The reversal of 4740879386100 is 16839780474.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4740879386107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 66772949065 + ... + 66772949135.

It is an arithmetic number, because the mean of its divisors is an integer number (7979489280).

Almost surely, 2^{4740879386100} 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 4740879386100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9192371650560).

4740879386100 is an abundant number, since it is smaller than the sum of its proper divisors (13643863915020).

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

4740879386100 is a wasteful number, since it uses less digits than its factorization.

4740879386100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 4740879386100 in words is "four trillion, seven hundred forty billion, eight hundred seventy-nine million, three hundred eighty-six thousand, one hundred".