677905410816 has 576 divisors, whose sum is σ = 2107740096000. Its totient is φ = 214732062720.

The previous prime is 677905410811. The next prime is 677905410901. The reversal of 677905410816 is 618014509776.

677905410816 is a `hidden beast` number, since 6 + 7 + 7 + 90 + 541 + 0 + 8 + 1 + 6 = 666.

677905410816 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 (54).

It is not an unprimeable number, because it can be changed into a prime (677905410811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2520094330 + ... + 2520094598.

It is an arithmetic number, because the mean of its divisors is an integer number (3659271000).

Almost surely, 2^677905410816 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 677905410816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053870048000).

677905410816 is an abundant number, since it is smaller than the sum of its proper divisors (1429834685184).

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

677905410816 is a wasteful number, since it uses less digits than its factorization.

677905410816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 677905410816 in words is "six hundred seventy-seven billion, nine hundred five million, four hundred ten thousand, eight hundred sixteen".