74926126080 has 1056 divisors, whose sum is σ = 305792323200. Its totient is φ = 16795828224.

The previous prime is 74926126013. The next prime is 74926126081. The reversal of 74926126080 is 8062162947.

It is a happy number.

74926126080 is a `hidden beast` number, since 7 + 4 + 9 + 26 + 12 + 608 + 0 = 666.

It is a super-2 number, since 2×74926126080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74926126081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 330070927 + ... + 330071153.

Almost surely, 2^74926126080 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 74926126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152896161600).

74926126080 is an abundant number, since it is smaller than the sum of its proper divisors (230866197120).

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

74926126080 is a wasteful number, since it uses less digits than its factorization.

74926126080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 74926126080 in words is "seventy-four billion, nine hundred twenty-six million, one hundred twenty-six thousand, eighty".