74497280000 has 720 divisors, whose sum is σ = 226291485420. Its totient is φ = 24330240000.

The previous prime is 74497279981. The next prime is 74497280003. The reversal of 74497280000 is 8279447.

It can be written as a sum of positive squares in 10 ways, for example, as 4615300096 + 69881979904 = 67936^2 + 264352^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 74497280000.

It is not an unprimeable number, because it can be changed into a prime (74497280003) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2013439982 + ... + 2013440018.

Almost surely, 2^74497280000 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 74497280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113145742710).

74497280000 is an abundant number, since it is smaller than the sum of its proper divisors (151794205420).

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

74497280000 is a wasteful number, since it uses less digits than its factorization.

74497280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 41.

The spelling of 74497280000 in words is "seventy-four billion, four hundred ninety-seven million, two hundred eighty thousand".