4652988848640 has 320 divisors, whose sum is σ = 18030334734720. Its totient is φ = 1127997112320.

The previous prime is 4652988848603. The next prime is 4652988848693. The reversal of 4652988848640 is 468488892564.

4652988848640 is a `hidden beast` number, since 4 + 6 + 5 + 29 + 8 + 88 + 486 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2299569 + ... + 3820208.

It is an arithmetic number, because the mean of its divisors is an integer number (56344796046).

Almost surely, 2^{4652988848640} is an apocalyptic number.

4652988848640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4652988848640 is an abundant number, since it is smaller than the sum of its proper divisors (13377345886080).

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

4652988848640 is a wasteful number, since it uses less digits than its factorization.

4652988848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6119820 (or 6119798 counting only the distinct ones).

The product of its (nonzero) digits is 849346560, while the sum is 72.

The spelling of 4652988848640 in words is "four trillion, six hundred fifty-two billion, nine hundred eighty-eight million, eight hundred forty-eight thousand, six hundred forty".