272424824640 has 280 divisors, whose sum is σ = 969664461480. Its totient is φ = 72601546752.

The previous prime is 272424824629. The next prime is 272424824657. The reversal of 272424824640 is 46428424272.

272424824640 is a `hidden beast` number, since 2 + 72 + 42 + 4 + 82 + 464 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5846743296 + 266578081344 = 76464^2 + 516312^2 .

It is a super-2 number, since 2×272424824640² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75399474 + ... + 75403086.

Almost surely, 2^272424824640 is an apocalyptic number.

272424824640 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 272424824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484832230740).

272424824640 is an abundant number, since it is smaller than the sum of its proper divisors (697239636840).

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

272424824640 is a wasteful number, since it uses less digits than its factorization.

272424824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6551 (or 6532 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 45.

The spelling of 272424824640 in words is "two hundred seventy-two billion, four hundred twenty-four million, eight hundred twenty-four thousand, six hundred forty".