27479402496 has 768 divisors, whose sum is σ = 103322419200. Its totient is φ = 7023034368.

The previous prime is 27479402449. The next prime is 27479402519. The reversal of 27479402496 is 69420497472.

27479402496 is a `hidden beast` number, since 27 + 47 + 94 + 0 + 2 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 216373185 + ... + 216373311.

It is an arithmetic number, because the mean of its divisors is an integer number (134534400).

Almost surely, 2^27479402496 is an apocalyptic number.

27479402496 is a gapful number since it is divisible by the number (26) 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 27479402496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51661209600).

27479402496 is an abundant number, since it is smaller than the sum of its proper divisors (75843016704).

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

27479402496 is a wasteful number, since it uses less digits than its factorization.

27479402496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 27479402496 in words is "twenty-seven billion, four hundred seventy-nine million, four hundred two thousand, four hundred ninety-six".