4157604720 has 160 divisors (see below), whose sum is σ = 14814676800. Its totient is φ = 1070447616.

The previous prime is 4157604673. The next prime is 4157604721. The reversal of 4157604720 is 274067514.

4157604720 is a `hidden beast` number, since 41 + 5 + 7 + 604 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4157604721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29454 + ... + 95826.

It is an arithmetic number, because the mean of its divisors is an integer number (92591730).

Almost surely, 2^4157604720 is an apocalyptic number.

4157604720 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 4157604720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7407338400).

4157604720 is an abundant number, since it is smaller than the sum of its proper divisors (10657072080).

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

4157604720 is a wasteful number, since it uses less digits than its factorization.

4157604720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66424 (or 66412 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 4157604720 is about 64479.4906927777. The cubic root of 4157604720 is about 1607.9815658390.

The spelling of 4157604720 in words is "four billion, one hundred fifty-seven million, six hundred four thousand, seven hundred twenty".