27924296400 has 2160 divisors, whose sum is σ = 140688370368. Its totient is φ = 5225472000.

The previous prime is 27924296377. The next prime is 27924296419. The reversal of 27924296400 is 469242972.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2160).

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 431 ways as a sum of consecutive naturals, for example, 681080380 + ... + 681080420.

Almost surely, 2^27924296400 is an apocalyptic number.

27924296400 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 27924296400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70344185184).

27924296400 is an abundant number, since it is smaller than the sum of its proper divisors (112764073968).

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

27924296400 is a wasteful number, since it uses less digits than its factorization.

27924296400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 27924296400 in words is "twenty-seven billion, nine hundred twenty-four million, two hundred ninety-six thousand, four hundred".