74035738538560 has 224 divisors, whose sum is σ = 180857610839808. Its totient is φ = 28860998615040.

The previous prime is 74035738538557. The next prime is 74035738538581. The reversal of 74035738538560 is 6583583753047.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 74035738538492 and 74035738538501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 554587020 + ... + 554720500.

It is an arithmetic number, because the mean of its divisors is an integer number (807400048392).

Almost surely, 2^{74035738538560} 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 74035738538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90428805419904).

74035738538560 is an abundant number, since it is smaller than the sum of its proper divisors (106821872301248).

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

74035738538560 is a wasteful number, since it uses less digits than its factorization.

74035738538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133869 (or 133859 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 64.

The spelling of 74035738538560 in words is "seventy-four trillion, thirty-five billion, seven hundred thirty-eight million, five hundred thirty-eight thousand, five hundred sixty".