74288517367680 has 1536 divisors, whose sum is σ = 338411273241600. Its totient is φ = 14548032552960.

The previous prime is 74288517367679. The next prime is 74288517367769. The reversal of 74288517367680 is 8676371588247.

74288517367680 is a `hidden beast` number, since 7 + 4 + 2 + 8 + 8 + 517 + 36 + 76 + 8 + 0 = 666.

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 = 74288517367599 and 74288517367608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1626365002 + ... + 1626410678.

It is an arithmetic number, because the mean of its divisors is an integer number (220319839350).

Almost surely, 2^{74288517367680} is an apocalyptic number.

74288517367680 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 74288517367680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169205636620800).

74288517367680 is an abundant number, since it is smaller than the sum of its proper divisors (264122755873920).

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

74288517367680 is a wasteful number, since it uses less digits than its factorization.

74288517367680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45932 (or 45917 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 74288517367680 in words is "seventy-four trillion, two hundred eighty-eight billion, five hundred seventeen million, three hundred sixty-seven thousand, six hundred eighty".