74006455802496 has 768 divisors, whose sum is σ = 244152278784000. Its totient is φ = 19746719612928.

The previous prime is 74006455802473. The next prime is 74006455802507. The reversal of 74006455802496 is 69420855460047.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11040792681 + ... + 11040799383.

It is an arithmetic number, because the mean of its divisors is an integer number (317906613000).

Almost surely, 2^{74006455802496} is an apocalyptic number.

74006455802496 is a gapful number since it is divisible by the number (76) 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 74006455802496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122076139392000).

74006455802496 is an abundant number, since it is smaller than the sum of its proper divisors (170145822981504).

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

74006455802496 is a wasteful number, since it uses less digits than its factorization.

74006455802496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7189 (or 7170 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 60.

The spelling of 74006455802496 in words is "seventy-four trillion, six billion, four hundred fifty-five million, eight hundred two thousand, four hundred ninety-six".