74740377600 has 1728 divisors, whose sum is σ = 342203097600. Its totient is φ = 15193866240.

The previous prime is 74740377581. The next prime is 74740377601. The reversal of 74740377600 is 677304747.

74740377600 is a `hidden beast` number, since 7 + 4 + 7 + 4 + 0 + 37 + 7 + 600 = 666.

It is a super-2 number, since 2×74740377600² (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 not an unprimeable number, because it can be changed into a prime (74740377601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1590220777 + ... + 1590220823.

It is an arithmetic number, because the mean of its divisors is an integer number (198034200).

Almost surely, 2^74740377600 is an apocalyptic number.

74740377600 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 74740377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171101548800).

74740377600 is an abundant number, since it is smaller than the sum of its proper divisors (267462720000).

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

74740377600 is a wasteful number, since it uses less digits than its factorization.

74740377600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 691488, while the sum is 45.

The spelling of 74740377600 in words is "seventy-four billion, seven hundred forty million, three hundred seventy-seven thousand, six hundred".