6124908709920 has 3072 divisors, whose sum is σ = 27948555436032. Its totient is φ = 1086898176000.

The previous prime is 6124908709919. The next prime is 6124908709973. The reversal of 6124908709920 is 299078094216.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

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, 46755028255 + ... + 46755028385.

It is an arithmetic number, because the mean of its divisors is an integer number (9097837056).

Almost surely, 2^{6124908709920} is an apocalyptic number.

6124908709920 is a gapful number since it is divisible by the number (60) 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 6124908709920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13974277718016).

6124908709920 is an abundant number, since it is smaller than the sum of its proper divisors (21823646726112).

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

6124908709920 is a wasteful number, since it uses less digits than its factorization.

6124908709920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 6124908709920 in words is "six trillion, one hundred twenty-four billion, nine hundred eight million, seven hundred nine thousand, nine hundred twenty".