61279014240 has 240 divisors, whose sum is σ = 219932087760. Its totient is φ = 16063902720.

The previous prime is 61279014191. The next prime is 61279014257. The reversal of 61279014240 is 4241097216.

It is a happy number.

61279014240 is a `hidden beast` number, since 612 + 7 + 9 + 0 + 14 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×61279014240² (a number of 22 digits) contains 22 as substring.

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 = 61279014195 and 61279014204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 724570 + ... + 804710.

It is an arithmetic number, because the mean of its divisors is an integer number (916383699).

Almost surely, 2^61279014240 is an apocalyptic number.

61279014240 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 61279014240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109966043880).

61279014240 is an abundant number, since it is smaller than the sum of its proper divisors (158653073520).

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

61279014240 is a wasteful number, since it uses less digits than its factorization.

61279014240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80227 (or 80210 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 61279014240 in words is "sixty-one billion, two hundred seventy-nine million, fourteen thousand, two hundred forty".