6345137040 has 480 divisors, whose sum is σ = 23085772416. Its totient is φ = 1428480000.

The previous prime is 6345137033. The next prime is 6345137059. The reversal of 6345137040 is 407315436.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 6345136992 and 6345137010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104018610 + ... + 104018670.

Almost surely, 2^6345137040 is an apocalyptic number.

6345137040 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 6345137040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11542886208).

6345137040 is an abundant number, since it is smaller than the sum of its proper divisors (16740635376).

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

6345137040 is a wasteful number, since it uses less digits than its factorization.

6345137040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 6345137040 is about 79656.3684836310. The cubic root of 6345137040 is about 1851.3150659425.

The spelling of 6345137040 in words is "six billion, three hundred forty-five million, one hundred thirty-seven thousand, forty".