29372071680 has 432 divisors, whose sum is σ = 116811362304. Its totient is φ = 6674964480.

The previous prime is 29372071669. The next prime is 29372071693. The reversal of 29372071680 is 8617027392.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15401287 + ... + 15403193.

It is an arithmetic number, because the mean of its divisors is an integer number (270396672).

Almost surely, 2^29372071680 is an apocalyptic number.

29372071680 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 29372071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58405681152).

29372071680 is an abundant number, since it is smaller than the sum of its proper divisors (87439290624).

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

29372071680 is a wasteful number, since it uses less digits than its factorization.

29372071680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 29372071680 in words is "twenty-nine billion, three hundred seventy-two million, seventy-one thousand, six hundred eighty".