29294927680 has 112 divisors (see below), whose sum is σ = 76409367120. Its totient is φ = 10648322048.

The previous prime is 29294927633. The next prime is 29294927687. The reversal of 29294927680 is 8672949292.

It can be written as a sum of positive squares in 8 ways, for example, as 3381655104 + 25913272576 = 58152^2 + 160976^2 .

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29294927687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64914 + ... + 250606.

Almost surely, 2^29294927680 is an apocalyptic number.

29294927680 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 29294927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38204683560).

29294927680 is an abundant number, since it is smaller than the sum of its proper divisors (47114439440).

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

29294927680 is a wasteful number, since it uses less digits than its factorization.

29294927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185756 (or 185746 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 29294927680 in words is "twenty-nine billion, two hundred ninety-four million, nine hundred twenty-seven thousand, six hundred eighty".