4620150402560 has 640 divisors, whose sum is σ = 14295816437760. Its totient is φ = 1389750681600.

The previous prime is 4620150402481. The next prime is 4620150402589. The reversal of 4620150402560 is 652040510264.

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 (35).

It is a self number, because there is not a number n which added to its sum of digits gives 4620150402560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2853705431 + ... + 2853707049.

It is an arithmetic number, because the mean of its divisors is an integer number (22337213184).

Almost surely, 2^{4620150402560} is an apocalyptic number.

4620150402560 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 4620150402560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7147908218880).

4620150402560 is an abundant number, since it is smaller than the sum of its proper divisors (9675666035200).

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

4620150402560 is a wasteful number, since it uses less digits than its factorization.

4620150402560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 4620150402560 in words is "four trillion, six hundred twenty billion, one hundred fifty million, four hundred two thousand, five hundred sixty".