4031674560 has 280 divisors, whose sum is σ = 14483090160. Its totient is φ = 1064503296.

The previous prime is 4031674501. The next prime is 4031674571. The reversal of 4031674560 is 654761304.

It is a happy number.

4031674560 is a `hidden beast` number, since 4 + 0 + 31 + 67 + 4 + 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 39 ways as a sum of consecutive naturals, for example, 2824567 + ... + 2825993.

It is an arithmetic number, because the mean of its divisors is an integer number (51725322).

Almost surely, 2^4031674560 is an apocalyptic number.

4031674560 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 4031674560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7241545080).

4031674560 is an abundant number, since it is smaller than the sum of its proper divisors (10451415600).

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

4031674560 is a wasteful number, since it uses less digits than its factorization.

4031674560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4031674560 is about 63495.4688147115. The cubic root of 4031674560 is about 1591.5800597717.

The spelling of 4031674560 in words is "four billion, thirty-one million, six hundred seventy-four thousand, five hundred sixty".