274272513840 has 240 divisors, whose sum is σ = 992388170592. Its totient is φ = 67483570176.

The previous prime is 274272513829. The next prime is 274272513973. The reversal of 274272513840 is 48315272472.

274272513840 is a `hidden beast` number, since 2 + 74 + 27 + 2 + 513 + 8 + 40 = 666.

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

It is a super-2 number, since 2×274272513840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27635119 + ... + 27645041.

Almost surely, 2^274272513840 is an apocalyptic number.

274272513840 is a gapful number since it is divisible by the number (20) 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 274272513840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496194085296).

274272513840 is an abundant number, since it is smaller than the sum of its proper divisors (718115656752).

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

274272513840 is a wasteful number, since it uses less digits than its factorization.

274272513840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12908 (or 12899 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The spelling of 274272513840 in words is "two hundred seventy-four billion, two hundred seventy-two million, five hundred thirteen thousand, eight hundred forty".