27492157440 has 576 divisors, whose sum is σ = 106340532480. Its totient is φ = 6511656960.

The previous prime is 27492157421. The next prime is 27492157453. The reversal of 27492157440 is 4475129472.

27492157440 is a `hidden beast` number, since 2 + 7 + 492 + 157 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-4 number, since 4×27492157440⁴ (a number of 43 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47646432 + ... + 47647008.

It is an arithmetic number, because the mean of its divisors is an integer number (184618980).

Almost surely, 2^27492157440 is an apocalyptic number.

27492157440 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 27492157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53170266240).

27492157440 is an abundant number, since it is smaller than the sum of its proper divisors (78848375040).

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

27492157440 is a wasteful number, since it uses less digits than its factorization.

27492157440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 27492157440 in words is "twenty-seven billion, four hundred ninety-two million, one hundred fifty-seven thousand, four hundred forty".