274680564480 has 1440 divisors, whose sum is σ = 1181480598144. Its totient is φ = 59624128512.

The previous prime is 274680564479. The next prime is 274680564541. The reversal of 274680564480 is 84465086472.

It is a happy number.

274680564480 is a `hidden beast` number, since 2 + 74 + 6 + 8 + 0 + 564 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 159 ways as a sum of consecutive naturals, for example, 1423215264 + ... + 1423215456.

Almost surely, 2^274680564480 is an apocalyptic number.

274680564480 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 274680564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (590740299072).

274680564480 is an abundant number, since it is smaller than the sum of its proper divisors (906800033664).

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

274680564480 is a wasteful number, since it uses less digits than its factorization.

274680564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

It can be divided in two parts, 274680 and 564480, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 274680564480 in words is "two hundred seventy-four billion, six hundred eighty million, five hundred sixty-four thousand, four hundred eighty".