4700429263872 has 1232 divisors, whose sum is σ = 15561362779200. Its totient is φ = 1413206507520.

The previous prime is 4700429263811. The next prime is 4700429263949. The reversal of 4700429263872 is 2783629240074.

4700429263872 is a `hidden beast` number, since 470 + 0 + 4 + 2 + 92 + 6 + 3 + 87 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 34309702588 + ... + 34309702724.

Almost surely, 2^{4700429263872} 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 4700429263872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7780681389600).

4700429263872 is an abundant number, since it is smaller than the sum of its proper divisors (10860933515328).

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

4700429263872 is a wasteful number, since it uses less digits than its factorization.

4700429263872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 4700429263872 in words is "four trillion, seven hundred billion, four hundred twenty-nine million, two hundred sixty-three thousand, eight hundred seventy-two".