64090511979024 has 160 divisors (see below), whose sum is σ = 176797624227840. Its totient is φ = 19957840809984.

The previous prime is 64090511979023. The next prime is 64090511979029. The reversal of 64090511979024 is 42097911509046.

It is a happy number.

It is a Cunningham number, because it is equal to 8005655²-1.

It is not an unprimeable number, because it can be changed into a prime (64090511979023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 688439872 + ... + 688532960.

It is an arithmetic number, because the mean of its divisors is an integer number (1104985151424).

Almost surely, 2^{64090511979024} 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 64090511979024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88398812113920).

64090511979024 is an abundant number, since it is smaller than the sum of its proper divisors (112707112248816).

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

64090511979024 is a wasteful number, since it uses less digits than its factorization.

64090511979024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107669 (or 107663 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 57.

The spelling of 64090511979024 in words is "sixty-four trillion, ninety billion, five hundred eleven million, nine hundred seventy-nine thousand, twenty-four".