4700407726080 has 2304 divisors, whose sum is σ = 20293643059200. Its totient is φ = 1019215872000.

The previous prime is 4700407726067. The next prime is 4700407726103. The reversal of 4700407726080 is 806277040074.

4700407726080 is a `hidden beast` number, since 47 + 0 + 0 + 407 + 72 + 60 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a zygodrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 114644090860 + ... + 114644090900.

It is an arithmetic number, because the mean of its divisors is an integer number (8808004800).

Almost surely, 2^{4700407726080} is an apocalyptic number.

4700407726080 is a gapful number since it is divisible by the number (40) 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 4700407726080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10146821529600).

4700407726080 is an abundant number, since it is smaller than the sum of its proper divisors (15593235333120).

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

4700407726080 is a wasteful number, since it uses less digits than its factorization.

4700407726080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 4700407726080 in words is "four trillion, seven hundred billion, four hundred seven million, seven hundred twenty-six thousand, eighty".