27046698416640 has 960 divisors, whose sum is σ = 108907212420864. Its totient is φ = 6075397177344.

The previous prime is 27046698416599. The next prime is 27046698416641. The reversal of 27046698416640 is 4661489664072.

It is a happy number.

27046698416640 is a `hidden beast` number, since 2 + 7 + 0 + 466 + 9 + 8 + 4 + 166 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (27046698416641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4938229582 + ... + 4938235058.

Almost surely, 2^{27046698416640} is an apocalyptic number.

27046698416640 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 27046698416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54453606210432).

27046698416640 is an abundant number, since it is smaller than the sum of its proper divisors (81860514004224).

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

27046698416640 is a wasteful number, since it uses less digits than its factorization.

27046698416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6037 (or 6018 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 27046698416640 in words is "twenty-seven trillion, forty-six billion, six hundred ninety-eight million, four hundred sixteen thousand, six hundred forty".