74689494458880 has 640 divisors, whose sum is σ = 281977952256000. Its totient is φ = 16855737679872.

The previous prime is 74689494458879. The next prime is 74689494458893. The reversal of 74689494458880 is 8885449498647.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a junction number, because it is equal to n+sod(n) for n = 74689494458793 and 74689494458802.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207925509 + ... + 208284411.

It is an arithmetic number, because the mean of its divisors is an integer number (440590550400).

Almost surely, 2^{74689494458880} is an apocalyptic number.

74689494458880 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 74689494458880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140988976128000).

74689494458880 is an abundant number, since it is smaller than the sum of its proper divisors (207288457797120).

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

74689494458880 is an equidigital number, since it uses as much as digits as its factorization.

74689494458880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359029 (or 358999 counting only the distinct ones).

The product of its (nonzero) digits is 17836277760, while the sum is 84.

The spelling of 74689494458880 in words is "seventy-four trillion, six hundred eighty-nine billion, four hundred ninety-four million, four hundred fifty-eight thousand, eight hundred eighty".