4600365480000 has 840 divisors, whose sum is σ = 16808321065536. Its totient is φ = 1202342400000.

The previous prime is 4600365479971. The next prime is 4600365480013. The reversal of 4600365480000 is 845630064.

4600365480000 is a `hidden beast` number, since 4 + 600 + 3 + 6 + 5 + 48 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5393159574 + ... + 5393160426.

Almost surely, 2^{4600365480000} is an apocalyptic number.

4600365480000 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 4600365480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8404160532768).

4600365480000 is an abundant number, since it is smaller than the sum of its proper divisors (12207955585536).

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

4600365480000 is a wasteful number, since it uses less digits than its factorization.

4600365480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 4600365480000 in words is "four trillion, six hundred billion, three hundred sixty-five million, four hundred eighty thousand".