29913457680 has 160 divisors (see below), whose sum is σ = 103632117120. Its totient is φ = 7930713600.

The previous prime is 29913457661. The next prime is 29913457681. The reversal of 29913457680 is 8675431992.

29913457680 is a `hidden beast` number, since 29 + 91 + 3 + 457 + 6 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (29913457681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333655 + ... + 413705.

It is an arithmetic number, because the mean of its divisors is an integer number (647700732).

It is a 1-persistent number, because it is pandigital, but 2⋅29913457680 = 59826915360 is not.

Almost surely, 2^29913457680 is an apocalyptic number.

29913457680 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 29913457680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51816058560).

29913457680 is an abundant number, since it is smaller than the sum of its proper divisors (73718659440).

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

29913457680 is a wasteful number, since it uses less digits than its factorization.

29913457680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80246 (or 80234 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 29913457680 in words is "twenty-nine billion, nine hundred thirteen million, four hundred fifty-seven thousand, six hundred eighty".