74894052800 has 168 divisors, whose sum is σ = 211835670816. Its totient is φ = 25528872960.

The previous prime is 74894052787. The next prime is 74894052809. The reversal of 74894052800 is 825049847.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74894052809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1918274 + ... + 1956926.

It is an arithmetic number, because the mean of its divisors is an integer number (1260926612).

Almost surely, 2^74894052800 is an apocalyptic number.

74894052800 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 74894052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105917835408).

74894052800 is an abundant number, since it is smaller than the sum of its proper divisors (136941618016).

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

74894052800 is a wasteful number, since it uses less digits than its factorization.

74894052800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38855 (or 38840 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 74894052800 in words is "seventy-four billion, eight hundred ninety-four million, fifty-two thousand, eight hundred".