4829726079360 has 4096 divisors, whose sum is σ = 24192193536000. Its totient is φ = 880602513408.

The previous prime is 4829726079331. The next prime is 4829726079391. The reversal of 4829726079360 is 639706279284.

4829726079360 is a `hidden beast` number, since 4 + 8 + 2 + 9 + 7 + 260 + 7 + 9 + 360 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 18792708352 + ... + 18792708608.

It is an arithmetic number, because the mean of its divisors is an integer number (5906297250).

Almost surely, 2^{4829726079360} is an apocalyptic number.

4829726079360 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 4829726079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12096096768000).

4829726079360 is an abundant number, since it is smaller than the sum of its proper divisors (19362467456640).

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

4829726079360 is a wasteful number, since it uses less digits than its factorization.

4829726079360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 4829726079360 in words is "four trillion, eight hundred twenty-nine billion, seven hundred twenty-six million, seventy-nine thousand, three hundred sixty".