4055760072 has 320 divisors, whose sum is σ = 14132025600. Its totient is φ = 1058158080.

The previous prime is 4055760067. The next prime is 4055760073. The reversal of 4055760072 is 2700675504.

4055760072 is a `hidden beast` number, since 40 + 5 + 5 + 7 + 600 + 7 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4055760073) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6427197 + ... + 6427827.

It is an arithmetic number, because the mean of its divisors is an integer number (44162580).

Almost surely, 2^4055760072 is an apocalyptic number.

4055760072 is a gapful number since it is divisible by the number (42) 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 4055760072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7066012800).

4055760072 is an abundant number, since it is smaller than the sum of its proper divisors (10076265528).

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

4055760072 is a wasteful number, since it uses less digits than its factorization.

4055760072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 4055760072 is about 63684.8496268932. The cubic root of 4055760072 is about 1594.7431735667.

The spelling of 4055760072 in words is "four billion, fifty-five million, seven hundred sixty thousand, seventy-two".