29672671680 has 672 divisors, whose sum is σ = 113112889344. Its totient is φ = 7386660864.

The previous prime is 29672671661. The next prime is 29672671687. The reversal of 29672671680 is 8617627692.

29672671680 is a `hidden beast` number, since 296 + 7 + 267 + 16 + 80 = 666.

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 (29672671687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84058384 + ... + 84058736.

It is an arithmetic number, because the mean of its divisors is an integer number (168322752).

Almost surely, 2^29672671680 is an apocalyptic number.

29672671680 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 29672671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56556444672).

29672671680 is an abundant number, since it is smaller than the sum of its proper divisors (83440217664).

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

29672671680 is a wasteful number, since it uses less digits than its factorization.

29672671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 29672671680 in words is "twenty-nine billion, six hundred seventy-two million, six hundred seventy-one thousand, six hundred eighty".