4628002632960 has 288 divisors, whose sum is σ = 16906141808640. Its totient is φ = 1056956719104.

The previous prime is 4628002632941. The next prime is 4628002632973. The reversal of 4628002632960 is 692362008264.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 32803851 + ... + 32944629.

It is an arithmetic number, because the mean of its divisors is an integer number (58701881280).

Almost surely, 2^{4628002632960} is an apocalyptic number.

4628002632960 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 4628002632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8453070904320).

4628002632960 is an abundant number, since it is smaller than the sum of its proper divisors (12278139175680).

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

4628002632960 is a wasteful number, since it uses less digits than its factorization.

4628002632960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142033 (or 142019 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 4628002632960 in words is "four trillion, six hundred twenty-eight billion, two million, six hundred thirty-two thousand, nine hundred sixty".