77897584664064 has 1440 divisors, whose sum is σ = 282509214324480. Its totient is φ = 20364410880000.

The previous prime is 77897584664057. The next prime is 77897584664131. The reversal of 77897584664064 is 46046648579877.

77897584664064 is a `hidden beast` number, since 7 + 7 + 8 + 9 + 7 + 58 + 466 + 40 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15733704789 + ... + 15733709739.

It is an arithmetic number, because the mean of its divisors is an integer number (196186954392).

Almost surely, 2^{77897584664064} 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 77897584664064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141254607162240).

77897584664064 is an abundant number, since it is smaller than the sum of its proper divisors (204611629660416).

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

77897584664064 is a wasteful number, since it uses less digits than its factorization.

77897584664064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 13655900160, while the sum is 81.

The spelling of 77897584664064 in words is "seventy-seven trillion, eight hundred ninety-seven billion, five hundred eighty-four million, six hundred sixty-four thousand, sixty-four".