6477677850496 has 128 divisors (see below), whose sum is σ = 14025637785600. Its totient is φ = 2968652851200.

The previous prime is 6477677850467. The next prime is 6477677850529. The reversal of 6477677850496 is 6940587767746.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402057481 + ... + 402073591.

It is an arithmetic number, because the mean of its divisors is an integer number (109575295200).

Almost surely, 2^{6477677850496} 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 6477677850496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7012818892800).

6477677850496 is an abundant number, since it is smaller than the sum of its proper divisors (7547959935104).

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

6477677850496 is a wasteful number, since it uses less digits than its factorization.

6477677850496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21508 (or 21496 counting only the distinct ones).

The product of its (nonzero) digits is 2987228160, while the sum is 76.

The spelling of 6477677850496 in words is "six trillion, four hundred seventy-seven billion, six hundred seventy-seven million, eight hundred fifty thousand, four hundred ninety-six".