4620900170880 has 768 divisors, whose sum is σ = 18661848192000. Its totient is φ = 1053162528768.

The previous prime is 4620900170867. The next prime is 4620900170903. The reversal of 4620900170880 is 880710090264.

4620900170880 is a `hidden beast` number, since 4 + 620 + 9 + 0 + 0 + 17 + 0 + 8 + 8 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 725071374 + ... + 725077746.

It is an arithmetic number, because the mean of its divisors is an integer number (24299281500).

Almost surely, 2^{4620900170880} is an apocalyptic number.

4620900170880 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 4620900170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9330924096000).

4620900170880 is an abundant number, since it is smaller than the sum of its proper divisors (14040948021120).

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

4620900170880 is a wasteful number, since it uses less digits than its factorization.

4620900170880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6786 (or 6757 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 4620900170880 in words is "four trillion, six hundred twenty billion, nine hundred million, one hundred seventy thousand, eight hundred eighty".