74729305728 has 768 divisors, whose sum is σ = 283258080000. Its totient is φ = 19372953600.

The previous prime is 74729305709. The next prime is 74729305757. The reversal of 74729305728 is 82750392747.

74729305728 is a `hidden beast` number, since 7 + 47 + 29 + 3 + 0 + 572 + 8 = 666.

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 95 ways as a sum of consecutive naturals, for example, 143434108 + ... + 143434628.

It is an arithmetic number, because the mean of its divisors is an integer number (368825625).

Almost surely, 2^74729305728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74729305728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141629040000).

74729305728 is an abundant number, since it is smaller than the sum of its proper divisors (208528774272).

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

74729305728 is a wasteful number, since it uses less digits than its factorization.

74729305728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 74729305728 in words is "seventy-four billion, seven hundred twenty-nine million, three hundred five thousand, seven hundred twenty-eight".