74763343872 has 576 divisors, whose sum is σ = 264300472800. Its totient is φ = 20808990720.

The previous prime is 74763343871. The next prime is 74763343877. The reversal of 74763343872 is 27834336747.

It is a happy number.

74763343872 is a `hidden beast` number, since 74 + 76 + 3 + 3 + 438 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74763343871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111089328 + ... + 111090000.

Almost surely, 2^74763343872 is an apocalyptic number.

74763343872 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 74763343872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132150236400).

74763343872 is an abundant number, since it is smaller than the sum of its proper divisors (189537128928).

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

74763343872 is a wasteful number, since it uses less digits than its factorization.

74763343872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 726 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 54.

The spelling of 74763343872 in words is "seventy-four billion, seven hundred sixty-three million, three hundred forty-three thousand, eight hundred seventy-two".