74591696067840 has 2160 divisors, whose sum is σ = 325277556912000. Its totient is φ = 15984935829504.

The previous prime is 74591696067787. The next prime is 74591696067841. The reversal of 74591696067840 is 4876069619547.

It is a happy number.

74591696067840 is a `hidden beast` number, since 7 + 4 + 5 + 9 + 1 + 6 + 9 + 606 + 7 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×74591696067840² (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 (74591696067841) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 73200878851 + ... + 73200879869.

Almost surely, 2^{74591696067840} is an apocalyptic number.

74591696067840 is a gapful number since it is divisible by the number (70) 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 74591696067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162638778456000).

74591696067840 is an abundant number, since it is smaller than the sum of its proper divisors (250685860844160).

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

74591696067840 is a wasteful number, since it uses less digits than its factorization.

74591696067840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 74591696067840 in words is "seventy-four trillion, five hundred ninety-one billion, six hundred ninety-six million, sixty-seven thousand, eight hundred forty".