6123377920 has 144 divisors (see below), whose sum is σ = 16518136320. Its totient is φ = 2154700800.

The previous prime is 6123377903. The next prime is 6123377959. The reversal of 6123377920 is 297733216.

It is a super-2 number, since 2×6123377920² = 74991514302287052800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 429466 + ... + 443494.

It is an arithmetic number, because the mean of its divisors is an integer number (114709280).

Almost surely, 2^6123377920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6123377920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8259068160).

6123377920 is an abundant number, since it is smaller than the sum of its proper divisors (10394758400).

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

6123377920 is a wasteful number, since it uses less digits than its factorization.

6123377920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14092 (or 14078 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 40.

The square root of 6123377920 is about 78252.0154373036. The cubic root of 6123377920 is about 1829.4913254696.

The spelling of 6123377920 in words is "six billion, one hundred twenty-three million, three hundred seventy-seven thousand, nine hundred twenty".