4626661120 has 144 divisors (see below), whose sum is σ = 11785213440. Its totient is φ = 1735299072.

The previous prime is 4626661099. The next prime is 4626661141. The reversal of 4626661120 is 211666264.

It is an interprime number because it is at equal distance from previous prime (4626661099) and next prime (4626661141).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2504037 + ... + 2505883.

It is an arithmetic number, because the mean of its divisors is an integer number (81841760).

Almost surely, 2^4626661120 is an apocalyptic number.

4626661120 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 4626661120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892606720).

4626661120 is an abundant number, since it is smaller than the sum of its proper divisors (7158552320).

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

4626661120 is a wasteful number, since it uses less digits than its factorization.

4626661120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1976 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 4626661120 is about 68019.5642444143. The cubic root of 4626661120 is about 1666.3103693479.

The spelling of 4626661120 in words is "four billion, six hundred twenty-six million, six hundred sixty-one thousand, one hundred twenty".