4630475808000 has 1728 divisors, whose sum is σ = 19973651163648. Its totient is φ = 1046288793600.

The previous prime is 4630475807989. The next prime is 4630475808037. The reversal of 4630475808000 is 8085740364.

4630475808000 is a `hidden beast` number, since 4 + 63 + 0 + 4 + 7 + 580 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5279903562 + ... + 5279904438.

Almost surely, 2^{4630475808000} is an apocalyptic number.

4630475808000 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 4630475808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9986825581824).

4630475808000 is an abundant number, since it is smaller than the sum of its proper divisors (15343175355648).

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

4630475808000 is an frugal number, since it uses more digits than its factorization.

4630475808000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 4630475808000 in words is "four trillion, six hundred thirty billion, four hundred seventy-five million, eight hundred eight thousand".