74833790976 has 576 divisors, whose sum is σ = 262171728000. Its totient is φ = 21025751040.

The previous prime is 74833790903. The next prime is 74833791007. The reversal of 74833790976 is 67909733847.

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 (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192374590 + ... + 192374978.

It is an arithmetic number, because the mean of its divisors is an integer number (455159250).

Almost surely, 2^74833790976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74833790976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131085864000).

74833790976 is an abundant number, since it is smaller than the sum of its proper divisors (187337937024).

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

74833790976 is a wasteful number, since it uses less digits than its factorization.

74833790976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 74833790976 in words is "seventy-four billion, eight hundred thirty-three million, seven hundred ninety thousand, nine hundred seventy-six".