6076477440 has 728 divisors, whose sum is σ = 24494759568. Its totient is φ = 1433272320.

The previous prime is 6076477423. The next prime is 6076477469. The reversal of 6076477440 is 447746706.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 164229102 + ... + 164229138.

Almost surely, 2^6076477440 is an apocalyptic number.

6076477440 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 6076477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12247379784).

6076477440 is an abundant number, since it is smaller than the sum of its proper divisors (18418282128).

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

6076477440 is an equidigital number, since it uses as much as digits as its factorization.

6076477440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The square root of 6076477440 is about 77951.7635464394. The cubic root of 6076477440 is about 1824.8085058349.

The spelling of 6076477440 in words is "six billion, seventy-six million, four hundred seventy-seven thousand, four hundred forty".