82377557064000 has 1792 divisors, whose sum is σ = 343036062720000. Its totient is φ = 19171095552000.

The previous prime is 82377557063999. The next prime is 82377557064007. The reversal of 82377557064000 is 46075577328.

It is a happy number.

82377557064000 is a `hidden beast` number, since 8 + 2 + 3 + 7 + 7 + 5 + 570 + 64 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82377557064007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 12333812661 + ... + 12333819339.

Almost surely, 2^{82377557064000} is an apocalyptic number.

82377557064000 is a gapful number since it is divisible by the number (80) 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 82377557064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171518031360000).

82377557064000 is an abundant number, since it is smaller than the sum of its proper divisors (260658505656000).

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

82377557064000 is a wasteful number, since it uses less digits than its factorization.

82377557064000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6934 (or 6908 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 82377557064000 in words is "eighty-two trillion, three hundred seventy-seven billion, five hundred fifty-seven million, sixty-four thousand".