74958283560960 has 768 divisors, whose sum is σ = 276325298121600. Its totient is φ = 19501103185920.

The previous prime is 74958283560959. The next prime is 74958283560961. The reversal of 74958283560960 is 6906538285947.

It is a happy number.

74958283560960 is a `hidden beast` number, since 7 + 4 + 9 + 5 + 8 + 2 + 8 + 3 + 5 + 609 + 6 + 0 = 666.

74958283560960 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (74958283560959) and next prime (74958283560961).

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×74958283560960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74958283560961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 918149262 + ... + 918230898.

Almost surely, 2^{74958283560960} 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 74958283560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138162649060800).

74958283560960 is an abundant number, since it is smaller than the sum of its proper divisors (201367014560640).

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

74958283560960 is an frugal number, since it uses more digits than its factorization.

74958283560960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81726 (or 81688 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 74958283560960 in words is "seventy-four trillion, nine hundred fifty-eight billion, two hundred eighty-three million, five hundred sixty thousand, nine hundred sixty".