4829064514560 has 4224 divisors, whose sum is σ = 22785330585600. Its totient is φ = 956470394880.

The previous prime is 4829064514531. The next prime is 4829064514591. The reversal of 4829064514560 is 654154609284.

It is a happy number.

4829064514560 is a `hidden beast` number, since 4 + 8 + 2 + 9 + 0 + 64 + 5 + 14 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

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

It is a junction number, because it is equal to n+sod(n) for n = 4829064514497 and 4829064514506.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 112303825899 + ... + 112303825941.

It is an arithmetic number, because the mean of its divisors is an integer number (5394254400).

Almost surely, 2^{4829064514560} is an apocalyptic number.

4829064514560 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 4829064514560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11392665292800).

4829064514560 is an abundant number, since it is smaller than the sum of its proper divisors (17956266071040).

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

4829064514560 is a wasteful number, since it uses less digits than its factorization.

4829064514560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 4829064514560 in words is "four trillion, eight hundred twenty-nine billion, sixty-four million, five hundred fourteen thousand, five hundred sixty".