4679581781952 has 560 divisors, whose sum is σ = 17762123731968. Its totient is φ = 1182621358080.

The previous prime is 4679581781929. The next prime is 4679581781969. The reversal of 4679581781952 is 2591871859764.

It is a happy number.

4679581781952 is a `hidden beast` number, since 467 + 9 + 5 + 8 + 1 + 78 + 1 + 95 + 2 = 666.

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14610793 + ... + 14927639.

Almost surely, 2^{4679581781952} is an apocalyptic number.

4679581781952 is a gapful number since it is divisible by the number (42) 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 4679581781952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8881061865984).

4679581781952 is an abundant number, since it is smaller than the sum of its proper divisors (13082541950016).

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

4679581781952 is a wasteful number, since it uses less digits than its factorization.

4679581781952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316926 (or 316907 counting only the distinct ones).

The product of its digits is 304819200, while the sum is 72.

The spelling of 4679581781952 in words is "four trillion, six hundred seventy-nine billion, five hundred eighty-one million, seven hundred eighty-one thousand, nine hundred fifty-two".