74734627968 has 1280 divisors, whose sum is σ = 315165312000. Its totient is φ = 16930529280.

The previous prime is 74734627967. The next prime is 74734627997. The reversal of 74734627968 is 86972643747.

It is a happy number.

74734627968 is a `hidden beast` number, since 7 + 47 + 3 + 462 + 79 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (74734627963) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 197188803 + ... + 197189181.

It is an arithmetic number, because the mean of its divisors is an integer number (246222900).

Almost surely, 2^74734627968 is an apocalyptic number.

74734627968 is a gapful number since it is divisible by the number (78) 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 74734627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157582656000).

74734627968 is an abundant number, since it is smaller than the sum of its proper divisors (240430684032).

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

74734627968 is a wasteful number, since it uses less digits than its factorization.

74734627968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 434 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 74734627968 in words is "seventy-four billion, seven hundred thirty-four million, six hundred twenty-seven thousand, nine hundred sixty-eight".