27740966400 has 480 divisors, whose sum is σ = 116379098880. Its totient is φ = 6340239360.

The previous prime is 27740966399. The next prime is 27740966419. The reversal of 27740966400 is 466904772.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×27740966400² (a number of 22 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2413467 + ... + 2424933.

It is an arithmetic number, because the mean of its divisors is an integer number (242456456).

Almost surely, 2^27740966400 is an apocalyptic number.

27740966400 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 27740966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58189549440).

27740966400 is an abundant number, since it is smaller than the sum of its proper divisors (88638132480).

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

27740966400 is a wasteful number, since it uses less digits than its factorization.

27740966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11511 (or 11484 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 27740966400 in words is "twenty-seven billion, seven hundred forty million, nine hundred sixty-six thousand, four hundred".