6107028480 has 352 divisors, whose sum is σ = 24807674880. Its totient is φ = 1395671040.

The previous prime is 6107028467. The next prime is 6107028491. The reversal of 6107028480 is 848207016.

It is a super-2 number, since 2×6107028480² = 74591593711062220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 964525 + ... + 970835.

Almost surely, 2^6107028480 is an apocalyptic number.

6107028480 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 6107028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12403837440).

6107028480 is an abundant number, since it is smaller than the sum of its proper divisors (18700646400).

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

6107028480 is a wasteful number, since it uses less digits than its factorization.

6107028480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6352 (or 6328 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 6107028480 is about 78147.4790380342. The cubic root of 6107028480 is about 1827.8616248059.

The spelling of 6107028480 in words is "six billion, one hundred seven million, twenty-eight thousand, four hundred eighty".