4655978496000 has 2400 divisors, whose sum is σ = 19950655076352. Its totient is φ = 1070176665600.

The previous prime is 4655978495999. The next prime is 4655978496049. The reversal of 4655978496000 is 6948795564.

4655978496000 is a `hidden beast` number, since 4 + 6 + 55 + 97 + 8 + 496 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 36661247937 + ... + 36661248063.

Almost surely, 2^{4655978496000} is an apocalyptic number.

4655978496000 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 4655978496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9975327538176).

4655978496000 is an abundant number, since it is smaller than the sum of its proper divisors (15294676580352).

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

4655978496000 is a wasteful number, since it uses less digits than its factorization.

4655978496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 4655978496000 in words is "four trillion, six hundred fifty-five billion, nine hundred seventy-eight million, four hundred ninety-six thousand".