74029887095346 has 256 divisors, whose sum is σ = 209437329024000. Its totient is φ = 19256904188928.

The previous prime is 74029887095293. The next prime is 74029887095347. The reversal of 74029887095346 is 64359078892047.

74029887095346 is a `hidden beast` number, since 7 + 4 + 0 + 2 + 9 + 8 + 87 + 0 + 9 + 534 + 6 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (74029887095347) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15471550 + ... + 19683206.

It is an arithmetic number, because the mean of its divisors is an integer number (818114566500).

Almost surely, 2^{74029887095346} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74029887095346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104718664512000).

74029887095346 is an abundant number, since it is smaller than the sum of its proper divisors (135407441928654).

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

74029887095346 is a wasteful number, since it uses less digits than its factorization.

74029887095346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211775 (or 4211755 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 72.

The spelling of 74029887095346 in words is "seventy-four trillion, twenty-nine billion, eight hundred eighty-seven million, ninety-five thousand, three hundred forty-six".