274726313993664 has 448 divisors, whose sum is σ = 929083990423680. Its totient is φ = 78854679429120.

The previous prime is 274726313993657. The next prime is 274726313993671. The reversal of 274726313993664 is 466399313627472.

274726313993664 is a `hidden beast` number, since 2 + 7 + 4 + 72 + 63 + 139 + 9 + 366 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (274726313993657) and next prime (274726313993671).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 274726313993592 and 274726313993601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39970204 + ... + 46336484.

It is an arithmetic number, because the mean of its divisors is an integer number (2073848192910).

Almost surely, 2^{274726313993664} is an apocalyptic number.

274726313993664 is a gapful number since it is divisible by the number (24) 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 274726313993664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464541995211840).

274726313993664 is an abundant number, since it is smaller than the sum of its proper divisors (654357676430016).

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

274726313993664 is a wasteful number, since it uses less digits than its factorization.

274726313993664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6366445 (or 6366429 counting only the distinct ones).

The product of its digits is 1481421312, while the sum is 72.

The spelling of 274726313993664 in words is "two hundred seventy-four trillion, seven hundred twenty-six billion, three hundred thirteen million, nine hundred ninety-three thousand, six hundred sixty-four".