61274283840 has 840 divisors, whose sum is σ = 273903374976. Its totient is φ = 12727756800.

The previous prime is 61274283827. The next prime is 61274283883. The reversal of 61274283840 is 4838247216.

It is a happy number.

61274283840 is a `hidden beast` number, since 61 + 274 + 283 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21952845 + ... + 21955635.

Almost surely, 2^61274283840 is an apocalyptic number.

61274283840 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 61274283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136951687488).

61274283840 is an abundant number, since it is smaller than the sum of its proper divisors (212629091136).

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

61274283840 is a wasteful number, since it uses less digits than its factorization.

61274283840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 61274283840 in words is "sixty-one billion, two hundred seventy-four million, two hundred eighty-three thousand, eight hundred forty".