74642567040 has 512 divisors, whose sum is σ = 282910464000. Its totient is φ = 18542960640.

The previous prime is 74642567011. The next prime is 74642567053. The reversal of 74642567040 is 4076524647.

74642567040 is a `hidden beast` number, since 7 + 4 + 6 + 42 + 567 + 0 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20025657 + ... + 20029383.

It is an arithmetic number, because the mean of its divisors is an integer number (552559500).

Almost surely, 2^74642567040 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 74642567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141455232000).

74642567040 is an abundant number, since it is smaller than the sum of its proper divisors (208267896960).

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

74642567040 is a wasteful number, since it uses less digits than its factorization.

74642567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3835 (or 3817 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 74642567040 in words is "seventy-four billion, six hundred forty-two million, five hundred sixty-seven thousand, forty".