74385866813440 has 2496 divisors, whose sum is σ = 253006438809600. Its totient is φ = 20675813179392.

The previous prime is 74385866813411. The next prime is 74385866813441. The reversal of 74385866813440 is 4431866858347.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74385866813441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 535150120891 + ... + 535150121029.

Almost surely, 2^{74385866813440} is an apocalyptic number.

74385866813440 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 74385866813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126503219404800).

74385866813440 is an abundant number, since it is smaller than the sum of its proper divisors (178620571996160).

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

74385866813440 is a wasteful number, since it uses less digits than its factorization.

74385866813440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 67.

The spelling of 74385866813440 in words is "seventy-four trillion, three hundred eighty-five billion, eight hundred sixty-six million, eight hundred thirteen thousand, four hundred forty".