74327742720 has 2304 divisors, whose sum is σ = 366201077760. Its totient is φ = 13801881600.

The previous prime is 74327742673. The next prime is 74327742787. The reversal of 74327742720 is 2724772347.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×74327742720² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1402410214 + ... + 1402410266.

It is an arithmetic number, because the mean of its divisors is an integer number (158941440).

Almost surely, 2^74327742720 is an apocalyptic number.

74327742720 is a gapful number since it is divisible by the number (70) 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 74327742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183100538880).

74327742720 is an abundant number, since it is smaller than the sum of its proper divisors (291873335040).

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

74327742720 is a wasteful number, since it uses less digits than its factorization.

74327742720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 921984, while the sum is 45.

The spelling of 74327742720 in words is "seventy-four billion, three hundred twenty-seven million, seven hundred forty-two thousand, seven hundred twenty".