4656380848560 has 480 divisors, whose sum is σ = 18828223964160. Its totient is φ = 1007442634752.

The previous prime is 4656380848547. The next prime is 4656380848619. The reversal of 4656380848560 is 658480836564.

It is a happy number.

4656380848560 is a `hidden beast` number, since 4 + 6 + 5 + 63 + 8 + 0 + 8 + 4 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116136837 + ... + 116176923.

It is an arithmetic number, because the mean of its divisors is an integer number (39225466592).

Almost surely, 2^{4656380848560} is an apocalyptic number.

4656380848560 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 4656380848560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9414111982080).

4656380848560 is an abundant number, since it is smaller than the sum of its proper divisors (14171843115600).

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

4656380848560 is a wasteful number, since it uses less digits than its factorization.

4656380848560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41345 (or 41336 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 4656380848560 in words is "four trillion, six hundred fifty-six billion, three hundred eighty million, eight hundred forty-eight thousand, five hundred sixty".