4646602920960 has 4752 divisors, whose sum is σ = 23503197961152. Its totient is φ = 869518540800.

The previous prime is 4646602920937. The next prime is 4646602920991. The reversal of 4646602920960 is 690292066464.

4646602920960 is a `hidden beast` number, since 4 + 6 + 4 + 6 + 602 + 9 + 20 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4752).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4646602920897 and 4646602920906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 113331778540 + ... + 113331778580.

Almost surely, 2^{4646602920960} is an apocalyptic number.

4646602920960 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 4646602920960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11751598980576).

4646602920960 is an abundant number, since it is smaller than the sum of its proper divisors (18856595040192).

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

4646602920960 is a wasteful number, since it uses less digits than its factorization.

4646602920960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 4646602920960 in words is "four trillion, six hundred forty-six billion, six hundred two million, nine hundred twenty thousand, nine hundred sixty".