4622002560 has 640 divisors, whose sum is σ = 19336458240. Its totient is φ = 1030164480.

The previous prime is 4622002547. The next prime is 4622002579. The reversal of 4622002560 is 652002264.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17055225 + ... + 17055495.

It is an arithmetic number, because the mean of its divisors is an integer number (30213216).

Almost surely, 2^4622002560 is an apocalyptic number.

4622002560 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 4622002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9668229120).

4622002560 is an abundant number, since it is smaller than the sum of its proper divisors (14714455680).

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

4622002560 is a wasteful number, since it uses less digits than its factorization.

4622002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4622002560 is about 67985.3113547331. The cubic root of 4622002560 is about 1665.7509152429.

The spelling of 4622002560 in words is "four billion, six hundred twenty-two million, two thousand, five hundred sixty".