74825600974080 has 864 divisors, whose sum is σ = 278477846621184. Its totient is φ = 17079828480000.

The previous prime is 74825600974063. The next prime is 74825600974081. The reversal of 74825600974080 is 8047900652847.

It is a happy number.

It is a super-2 number, since 2×74825600974080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74825600974081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 532871880 + ... + 533012280.

Almost surely, 2^{74825600974080} 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 74825600974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139238923310592).

74825600974080 is an abundant number, since it is smaller than the sum of its proper divisors (203652245647104).

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

74825600974080 is a wasteful number, since it uses less digits than its factorization.

74825600974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140515 (or 140490 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 74825600974080 in words is "seventy-four trillion, eight hundred twenty-five billion, six hundred million, nine hundred seventy-four thousand, eighty".