29976840432 has 240 divisors, whose sum is σ = 107028649728. Its totient is φ = 7604997120.

The previous prime is 29976840431. The next prime is 29976840451. The reversal of 29976840432 is 23404867992.

29976840432 is a `hidden beast` number, since 29 + 97 + 68 + 40 + 432 = 666.

It is a super-2 number, since 2×29976840432² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29976840431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445348 + ... + 508220.

Almost surely, 2^29976840432 is an apocalyptic number.

29976840432 is a gapful number since it is divisible by the number (22) 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 29976840432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53514324864).

29976840432 is an abundant number, since it is smaller than the sum of its proper divisors (77051809296).

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

29976840432 is a wasteful number, since it uses less digits than its factorization.

29976840432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62948 (or 62939 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 29976840432 in words is "twenty-nine billion, nine hundred seventy-six million, eight hundred forty thousand, four hundred thirty-two".