74277106733040 has 320 divisors, whose sum is σ = 231987203297280. Its totient is φ = 19659240509440.

The previous prime is 74277106733029. The next prime is 74277106733069. The reversal of 74277106733040 is 4033760177247.

74277106733040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×74277106733040² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28339222930 + ... + 28339225550.

It is an arithmetic number, because the mean of its divisors is an integer number (724960010304).

Almost surely, 2^{74277106733040} 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 74277106733040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115993601648640).

74277106733040 is an abundant number, since it is smaller than the sum of its proper divisors (157710096564240).

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

74277106733040 is a wasteful number, since it uses less digits than its factorization.

74277106733040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 4314 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 51.

The spelling of 74277106733040 in words is "seventy-four trillion, two hundred seventy-seven billion, one hundred six million, seven hundred thirty-three thousand, forty".