61015818240 has 512 divisors, whose sum is σ = 233849851200. Its totient is φ = 15005122560.

The previous prime is 61015818187. The next prime is 61015818301. The reversal of 61015818240 is 4281851016.

61015818240 is a `hidden beast` number, since 610 + 1 + 5 + 8 + 18 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (512).

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 = 61015818195 and 61015818204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57507310 + ... + 57508370.

Almost surely, 2^61015818240 is an apocalyptic number.

61015818240 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 61015818240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116924925600).

61015818240 is an abundant number, since it is smaller than the sum of its proper divisors (172834032960).

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

61015818240 is a wasteful number, since it uses less digits than its factorization.

61015818240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 61015818240 in words is "sixty-one billion, fifteen million, eight hundred eighteen thousand, two hundred forty".