74740034880000 has 4800 divisors, whose sum is σ = 348261145360128. Its totient is φ = 15606743040000.

The previous prime is 74740034879981. The next prime is 74740034880013. The reversal of 74740034880000 is 8843004747.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a super-2 number, since 2×74740034880000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 379391039902 + ... + 379391040098.

Almost surely, 2^{74740034880000} is an apocalyptic number.

74740034880000 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 74740034880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174130572680064).

74740034880000 is an abundant number, since it is smaller than the sum of its proper divisors (273521110480128).

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

74740034880000 is an equidigital number, since it uses as much as digits as its factorization.

74740034880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

Adding to 74740034880000 its reverse (8843004747), we get a palindrome (74748877884747).

The spelling of 74740034880000 in words is "seventy-four trillion, seven hundred forty billion, thirty-four million, eight hundred eighty thousand".