74969205218640 has 400 divisors, whose sum is σ = 276154120826496. Its totient is φ = 18809092684800.

The previous prime is 74969205218603. The next prime is 74969205218647. The reversal of 74969205218640 is 4681250296947.

74969205218640 is a `hidden beast` number, since 7 + 4 + 9 + 6 + 9 + 20 + 521 + 86 + 4 + 0 = 666.

It is a super-2 number, since 2×74969205218640² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74969205218647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4968375 + ... + 13214505.

Almost surely, 2^{74969205218640} 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 74969205218640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138077060413248).

74969205218640 is an abundant number, since it is smaller than the sum of its proper divisors (201184915607856).

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

74969205218640 is a wasteful number, since it uses less digits than its factorization.

74969205218640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8246240 (or 8246225 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 74969205218640 in words is "seventy-four trillion, nine hundred sixty-nine billion, two hundred five million, two hundred eighteen thousand, six hundred forty".