29971196640 has 576 divisors, whose sum is σ = 131790274560. Its totient is φ = 6227020800.

The previous prime is 29971196627. The next prime is 29971196641. The reversal of 29971196640 is 4669117992.

It is a happy number.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29971196641) 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, 3654945 + ... + 3663135.

It is an arithmetic number, because the mean of its divisors is an integer number (228802560).

Almost surely, 2^29971196640 is an apocalyptic number.

29971196640 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 29971196640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65895137280).

29971196640 is an abundant number, since it is smaller than the sum of its proper divisors (101819077920).

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

29971196640 is a wasteful number, since it uses less digits than its factorization.

29971196640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8244 (or 8219 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 29971196640 in words is "twenty-nine billion, nine hundred seventy-one million, one hundred ninety-six thousand, six hundred forty".