4001947560 has 640 divisors, whose sum is σ = 16070503680. Its totient is φ = 886837248.

The previous prime is 4001947501. The next prime is 4001947591. The reversal of 4001947560 is 657491004.

4001947560 is a `hidden beast` number, since 4 + 0 + 0 + 1 + 94 + 7 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 173997709 + ... + 173997731.

It is an arithmetic number, because the mean of its divisors is an integer number (25110162).

Almost surely, 2^4001947560 is an apocalyptic number.

4001947560 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 4001947560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8035251840).

4001947560 is an abundant number, since it is smaller than the sum of its proper divisors (12068556120).

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

4001947560 is a wasteful number, since it uses less digits than its factorization.

4001947560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 4001947560 is about 63260.9481433846. The cubic root of 4001947560 is about 1587.6586400664.

The spelling of 4001947560 in words is "four billion, one million, nine hundred forty-seven thousand, five hundred sixty".