29944606737672 has 96 divisors (see below), whose sum is σ = 88488255660480. Its totient is φ = 9072527978880.

The previous prime is 29944606737637. The next prime is 29944606737691. The reversal of 29944606737672 is 27673760644992.

29944606737672 is a `hidden beast` number, since 2 + 9 + 9 + 4 + 4 + 606 + 7 + 3 + 7 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 29944606737672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1188213 + ... + 7829499.

It is an arithmetic number, because the mean of its divisors is an integer number (921752663130).

Almost surely, 2^{29944606737672} is an apocalyptic number.

29944606737672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

29944606737672 is an abundant number, since it is smaller than the sum of its proper divisors (58543648922808).

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

29944606737672 is a wasteful number, since it uses less digits than its factorization.

29944606737672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6647003 (or 6646996 counting only the distinct ones).

The product of its (nonzero) digits is 1152216576, while the sum is 72.

The spelling of 29944606737672 in words is "twenty-nine trillion, nine hundred forty-four billion, six hundred six million, seven hundred thirty-seven thousand, six hundred seventy-two".