274401102487680 has 1024 divisors, whose sum is σ = 1127258173440000. Its totient is φ = 61785670385664.

The previous prime is 274401102487679. The next prime is 274401102487691. The reversal of 274401102487680 is 86784201104472.

It is a happy number.

274401102487680 is a `hidden beast` number, since 2 + 7 + 4 + 40 + 110 + 2 + 487 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7408418601 + ... + 7408455639.

It is an arithmetic number, because the mean of its divisors is an integer number (1100838060000).

Almost surely, 2^{274401102487680} is an apocalyptic number.

274401102487680 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 274401102487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563629086720000).

274401102487680 is an abundant number, since it is smaller than the sum of its proper divisors (852857070952320).

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

274401102487680 is a wasteful number, since it uses less digits than its factorization.

274401102487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37986 (or 37968 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 274401102487680 in words is "two hundred seventy-four trillion, four hundred one billion, one hundred two million, four hundred eighty-seven thousand, six hundred eighty".