4679011320984 has 2560 divisors, whose sum is σ = 19695978086400. Its totient is φ = 997691904000.

The previous prime is 4679011320931. The next prime is 4679011321013. The reversal of 4679011320984 is 4890231109764.

4679011320984 is a `hidden beast` number, since 467 + 90 + 1 + 1 + 3 + 2 + 0 + 98 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4679011320984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 14135985699 + ... + 14135986029.

It is an arithmetic number, because the mean of its divisors is an integer number (7693741440).

Almost surely, 2^{4679011320984} is an apocalyptic number.

4679011320984 is a gapful number since it is divisible by the number (44) 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 4679011320984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9847989043200).

4679011320984 is an abundant number, since it is smaller than the sum of its proper divisors (15016966765416).

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

4679011320984 is a wasteful number, since it uses less digits than its factorization.

4679011320984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 4679011320984 in words is "four trillion, six hundred seventy-nine billion, eleven million, three hundred twenty thousand, nine hundred eighty-four".