29628337680 has 80 divisors (see below), whose sum is σ = 102053170560. Its totient is φ = 7900889472.

The previous prime is 29628337657. The next prime is 29628337721. The reversal of 29628337680 is 8673382692.

It is a happy number.

29628337680 is a `hidden beast` number, since 2 + 9 + 628 + 3 + 3 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6856252 + ... + 6860571.

It is an arithmetic number, because the mean of its divisors is an integer number (1275664632).

Almost surely, 2^29628337680 is an apocalyptic number.

29628337680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29628337680 is an abundant number, since it is smaller than the sum of its proper divisors (72424832880).

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

29628337680 is a wasteful number, since it uses less digits than its factorization.

29628337680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13716845 (or 13716833 counting only the distinct ones).

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

The spelling of 29628337680 in words is "twenty-nine billion, six hundred twenty-eight million, three hundred thirty-seven thousand, six hundred eighty".