74452644000 has 576 divisors, whose sum is σ = 303117534720. Its totient is φ = 16953753600.

The previous prime is 74452643987. The next prime is 74452644001. The reversal of 74452644000 is 44625447.

74452644000 is a `hidden beast` number, since 7 + 4 + 4 + 5 + 2 + 644 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (74452644001) 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, 110627664 + ... + 110628336.

It is an arithmetic number, because the mean of its divisors is an integer number (526245720).

Almost surely, 2^74452644000 is an apocalyptic number.

74452644000 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 74452644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151558767360).

74452644000 is an abundant number, since it is smaller than the sum of its proper divisors (228664890720).

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

74452644000 is a wasteful number, since it uses less digits than its factorization.

74452644000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 74452644000 in words is "seventy-four billion, four hundred fifty-two million, six hundred forty-four thousand".