4646972032000 has 264 divisors, whose sum is σ = 12315343222728. Its totient is φ = 1749434368000.

The previous prime is 4646972031991. The next prime is 4646972032019. The reversal of 4646972032000 is 2302796464.

It can be written as a sum of positive squares in 12 ways, for example, as 2439394164736 + 2207577867264 = 1561856^2 + 1485792^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36929190 + ... + 37054810.

Almost surely, 2^{4646972032000} is an apocalyptic number.

4646972032000 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 4646972032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6157671611364).

4646972032000 is an abundant number, since it is smaller than the sum of its proper divisors (7668371190728).

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

4646972032000 is a wasteful number, since it uses less digits than its factorization.

4646972032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125690 (or 125645 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The spelling of 4646972032000 in words is "four trillion, six hundred forty-six billion, nine hundred seventy-two million, thirty-two thousand".