4648829979024 has 560 divisors, whose sum is σ = 16944514231680. Its totient is φ = 1199760906240.

The previous prime is 4648829978993. The next prime is 4648829979067. The reversal of 4648829979024 is 4209799288464.

4648829979024 is a `hidden beast` number, since 464 + 8 + 8 + 2 + 99 + 79 + 0 + 2 + 4 = 666.

It is a super-2 number, since 2×4648829979024² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 140989612 + ... + 141022580.

It is an arithmetic number, because the mean of its divisors is an integer number (30258061128).

Almost surely, 2^{4648829979024} is an apocalyptic number.

4648829979024 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 4648829979024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8472257115840).

4648829979024 is an abundant number, since it is smaller than the sum of its proper divisors (12295684252656).

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

4648829979024 is a wasteful number, since it uses less digits than its factorization.

4648829979024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33170 (or 33149 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 72.

The spelling of 4648829979024 in words is "four trillion, six hundred forty-eight billion, eight hundred twenty-nine million, nine hundred seventy-nine thousand, twenty-four".