74941817400 has 576 divisors, whose sum is σ = 279424080000. Its totient is φ = 17913692160.

The previous prime is 74941817399. The next prime is 74941817407. The reversal of 74941817400 is 471814947.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74941817407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70104066 + ... + 70105134.

It is an arithmetic number, because the mean of its divisors is an integer number (485111250).

Almost surely, 2^74941817400 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 74941817400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139712040000).

74941817400 is an abundant number, since it is smaller than the sum of its proper divisors (204482262600).

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

74941817400 is a wasteful number, since it uses less digits than its factorization.

74941817400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 74941817400 in words is "seventy-four billion, nine hundred forty-one million, eight hundred seventeen thousand, four hundred".