74948577822720 has 576 divisors, whose sum is σ = 297137157408000. Its totient is φ = 17115492777984.

The previous prime is 74948577822661. The next prime is 74948577822733. The reversal of 74948577822720 is 2722877584947.

74948577822720 is a `hidden beast` number, since 7 + 4 + 9 + 4 + 8 + 577 + 8 + 2 + 27 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 715385701 + ... + 715490459.

It is an arithmetic number, because the mean of its divisors is an integer number (515863120500).

Almost surely, 2^{74948577822720} is an apocalyptic number.

74948577822720 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 74948577822720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148568578704000).

74948577822720 is an abundant number, since it is smaller than the sum of its proper divisors (222188579585280).

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

74948577822720 is a wasteful number, since it uses less digits than its factorization.

74948577822720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105908 (or 105885 counting only the distinct ones).

The product of its (nonzero) digits is 885104640, while the sum is 72.

The spelling of 74948577822720 in words is "seventy-four trillion, nine hundred forty-eight billion, five hundred seventy-seven million, eight hundred twenty-two thousand, seven hundred twenty".