27934064640 has 300 divisors, whose sum is σ = 99455333484. Its totient is φ = 7247757312.

The previous prime is 27934064621. The next prime is 27934064659. The reversal of 27934064640 is 4646043972.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27934064621) and next prime (27934064659).

It can be written as a sum of positive squares in 2 ways, for example, as 18270388224 + 9663676416 = 135168^2 + 98304^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 754974702 + ... + 754974738.

Almost surely, 2^27934064640 is an apocalyptic number.

27934064640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27934064640 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27934064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49727666742).

27934064640 is an abundant number, since it is smaller than the sum of its proper divisors (71521268844).

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

27934064640 is an frugal number, since it uses more digits than its factorization.

27934064640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 27934064640 in words is "twenty-seven billion, nine hundred thirty-four million, sixty-four thousand, six hundred forty".