29748695940 has 144 divisors (see below), whose sum is σ = 92253064176. Its totient is φ = 7757337600.

The previous prime is 29748695861. The next prime is 29748695983. The reversal of 29748695940 is 4959684792.

29748695940 is a `hidden beast` number, since 29 + 7 + 486 + 95 + 9 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1314642564 + 28434053376 = 36258^2 + 168624^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1891710 + ... + 1907370.

It is an arithmetic number, because the mean of its divisors is an integer number (640646279).

Almost surely, 2^29748695940 is an apocalyptic number.

29748695940 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 29748695940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46126532088).

29748695940 is an abundant number, since it is smaller than the sum of its proper divisors (62504368236).

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

29748695940 is a wasteful number, since it uses less digits than its factorization.

29748695940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15910 (or 15905 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 29748695940 in words is "twenty-nine billion, seven hundred forty-eight million, six hundred ninety-five thousand, nine hundred forty".