74465771567616 has 720 divisors, whose sum is σ = 254228647825152. Its totient is φ = 20800394035200.

The previous prime is 74465771567599. The next prime is 74465771567617. The reversal of 74465771567616 is 61676517756447.

74465771567616 is a `hidden beast` number, since 7 + 4 + 4 + 6 + 57 + 7 + 1 + 567 + 6 + 1 + 6 = 666.

It is a super-2 number, since 2×74465771567616² (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 not an unprimeable number, because it can be changed into a prime (74465771567617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6518927281 + ... + 6518938703.

Almost surely, 2^{74465771567616} 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 74465771567616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127114323912576).

74465771567616 is an abundant number, since it is smaller than the sum of its proper divisors (179762876257536).

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

74465771567616 is a wasteful number, since it uses less digits than its factorization.

74465771567616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12245 (or 12213 counting only the distinct ones).

The product of its digits is 1244678400, while the sum is 72.

The spelling of 74465771567616 in words is "seventy-four trillion, four hundred sixty-five billion, seven hundred seventy-one million, five hundred sixty-seven thousand, six hundred sixteen".