74780838362880 has 2592 divisors, whose sum is σ = 302348579420160. Its totient is φ = 16943596830720.

The previous prime is 74780838362861. The next prime is 74780838362899. The reversal of 74780838362880 is 8826383808747.

74780838362880 is a `hidden beast` number, since 74 + 7 + 80 + 8 + 383 + 6 + 28 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (74780838362861) and next prime (74780838362899).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 74780838362799 and 74780838362808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 417770046631 + ... + 417770046809.

It is an arithmetic number, because the mean of its divisors is an integer number (116646828480).

Almost surely, 2^{74780838362880} 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 74780838362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151174289710080).

74780838362880 is an abundant number, since it is smaller than the sum of its proper divisors (227567741057280).

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

74780838362880 is a wasteful number, since it uses less digits than its factorization.

74780838362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 72.

The spelling of 74780838362880 in words is "seventy-four trillion, seven hundred eighty billion, eight hundred thirty-eight million, three hundred sixty-two thousand, eight hundred eighty".