601560872640 has 2240 divisors, whose sum is σ = 2868323082240. Its totient is φ = 116095057920.

The previous prime is 601560872623. The next prime is 601560872683. The reversal of 601560872640 is 46278065106.

601560872640 is a `hidden beast` number, since 6 + 0 + 1 + 560 + 87 + 2 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1389285864 + ... + 1389286296.

It is an arithmetic number, because the mean of its divisors is an integer number (1280501376).

Almost surely, 2^601560872640 is an apocalyptic number.

601560872640 is a gapful number since it is divisible by the number (60) 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 601560872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434161541120).

601560872640 is an abundant number, since it is smaller than the sum of its proper divisors (2266762209600).

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

601560872640 is a wasteful number, since it uses less digits than its factorization.

601560872640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 601560872640 in words is "six hundred one billion, five hundred sixty million, eight hundred seventy-two thousand, six hundred forty".