4642001560 has 64 divisors (see below), whose sum is σ = 11959776000. Its totient is φ = 1588450176.

The previous prime is 4642001479. The next prime is 4642001563. The reversal of 4642001560 is 651002464.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4642001563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130591 + ... + 162289.

It is an arithmetic number, because the mean of its divisors is an integer number (186871500).

Almost surely, 2^4642001560 is an apocalyptic number.

4642001560 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 4642001560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5979888000).

4642001560 is an abundant number, since it is smaller than the sum of its proper divisors (7317774440).

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

4642001560 is a wasteful number, since it uses less digits than its factorization.

4642001560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32240 (or 32236 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 4642001560 is about 68132.2358359096. The cubic root of 4642001560 is about 1668.1499777923.

The spelling of 4642001560 in words is "four billion, six hundred forty-two million, one thousand, five hundred sixty".