74407237632 has 1152 divisors, whose sum is σ = 288480890880. Its totient is φ = 18632540160.

The previous prime is 74407237631. The next prime is 74407237633. The reversal of 74407237632 is 23673270447.

74407237632 is a `hidden beast` number, since 7 + 4 + 4 + 0 + 7 + 2 + 3 + 7 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (74407237631) and next prime (74407237633).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74407237631) 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, 1403910118 + ... + 1403910170.

It is an arithmetic number, because the mean of its divisors is an integer number (250417440).

Almost surely, 2^74407237632 is an apocalyptic number.

74407237632 is a gapful number since it is divisible by the number (72) 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 74407237632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144240445440).

74407237632 is an abundant number, since it is smaller than the sum of its proper divisors (214073653248).

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

74407237632 is a wasteful number, since it uses less digits than its factorization.

74407237632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 45.

The spelling of 74407237632 in words is "seventy-four billion, four hundred seven million, two hundred thirty-seven thousand, six hundred thirty-two".