272528734464 has 1152 divisors, whose sum is σ = 1002155212800. Its totient is φ = 71424737280.

The previous prime is 272528734463. The next prime is 272528734519. The reversal of 272528734464 is 464437825272.

272528734464 is a `hidden beast` number, since 2 + 7 + 2 + 528 + 73 + 4 + 46 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×272528734464² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 272528734464.

It is not an unprimeable number, because it can be changed into a prime (272528734463) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3449730777 + ... + 3449730855.

It is an arithmetic number, because the mean of its divisors is an integer number (869926400).

Almost surely, 2^272528734464 is an apocalyptic number.

272528734464 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 272528734464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501077606400).

272528734464 is an abundant number, since it is smaller than the sum of its proper divisors (729626478336).

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

272528734464 is a wasteful number, since it uses less digits than its factorization.

272528734464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 216 counting only the distinct ones).

The product of its digits is 18063360, while the sum is 54.

The spelling of 272528734464 in words is "two hundred seventy-two billion, five hundred twenty-eight million, seven hundred thirty-four thousand, four hundred sixty-four".