4864927916016 has 640 divisors, whose sum is σ = 16937955584000. Its totient is φ = 1335290987520.

The previous prime is 4864927915951. The next prime is 4864927916087. The reversal of 4864927916016 is 6106197294684.

4864927916016 is a `hidden beast` number, since 4 + 8 + 6 + 492 + 79 + 1 + 60 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 388659390 + ... + 388671906.

It is an arithmetic number, because the mean of its divisors is an integer number (26465555600).

Almost surely, 2^{4864927916016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4864927916016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8468977792000).

4864927916016 is an abundant number, since it is smaller than the sum of its proper divisors (12073027667984).

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

4864927916016 is a wasteful number, since it uses less digits than its factorization.

4864927916016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12659 (or 12633 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 4864927916016 in words is "four trillion, eight hundred sixty-four billion, nine hundred twenty-seven million, nine hundred sixteen thousand, sixteen".