74646779504640 has 576 divisors, whose sum is σ = 277996144608000. Its totient is φ = 17050135560192.

The previous prime is 74646779504551. The next prime is 74646779504723. The reversal of 74646779504640 is 4640597764647.

74646779504640 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2238334686 + ... + 2238368034.

It is an arithmetic number, because the mean of its divisors is an integer number (482632195500).

Almost surely, 2^{74646779504640} is an apocalyptic number.

74646779504640 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 74646779504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138998072304000).

74646779504640 is an abundant number, since it is smaller than the sum of its proper divisors (203349365103360).

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

74646779504640 is a wasteful number, since it uses less digits than its factorization.

74646779504640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34880 (or 34853 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 69.

The spelling of 74646779504640 in words is "seventy-four trillion, six hundred forty-six billion, seven hundred seventy-nine million, five hundred four thousand, six hundred forty".