6161657040 has 800 divisors, whose sum is σ = 27301038336. Its totient is φ = 1250795520.

The previous prime is 6161657017. The next prime is 6161657071. The reversal of 6161657040 is 407561616.

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

It is a junction number, because it is equal to n+sod(n) for n = 6161656986 and 6161657004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 26444764 + ... + 26444996.

Almost surely, 2^6161657040 is an apocalyptic number.

6161657040 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 6161657040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13650519168).

6161657040 is an abundant number, since it is smaller than the sum of its proper divisors (21139381296).

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

6161657040 is a wasteful number, since it uses less digits than its factorization.

6161657040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6161657040 is about 78496.2230938534. The cubic root of 6161657040 is about 1833.2956469021.

The spelling of 6161657040 in words is "six billion, one hundred sixty-one million, six hundred fifty-seven thousand, forty".