4007790560 has 48 divisors (see below), whose sum is σ = 9475168752. Its totient is φ = 1601971200.

The previous prime is 4007790559. The next prime is 4007790569. The reversal of 4007790560 is 650977004.

4007790560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4007790560² = 32124770345650227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4007790569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236780 + ... + 253140.

It is an arithmetic number, because the mean of its divisors is an integer number (197399349).

Almost surely, 2^4007790560 is an apocalyptic number.

4007790560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4007790560 is an abundant number, since it is smaller than the sum of its proper divisors (5467378192).

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

4007790560 is a wasteful number, since it uses less digits than its factorization.

4007790560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17907 (or 17899 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 38.

The square root of 4007790560 is about 63307.1130284741. The cubic root of 4007790560 is about 1588.4309455649.

The spelling of 4007790560 in words is "four billion, seven million, seven hundred ninety thousand, five hundred sixty".