74542840320000 has 2080 divisors, whose sum is σ = 291104238724992. Its totient is φ = 16788750336000.

The previous prime is 74542840319951. The next prime is 74542840320001. The reversal of 74542840320000 is 2304824547.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2080).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (74542840320001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 62799359407 + ... + 62799360593.

Almost surely, 2^{74542840320000} 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 74542840320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145552119362496).

74542840320000 is an abundant number, since it is smaller than the sum of its proper divisors (216561398404992).

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

74542840320000 is a wasteful number, since it uses less digits than its factorization.

74542840320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 39.

The spelling of 74542840320000 in words is "seventy-four trillion, five hundred forty-two billion, eight hundred forty million, three hundred twenty thousand".