6377781948 has 96 divisors (see below), whose sum is σ = 16024599360. Its totient is φ = 1967063040.

The previous prime is 6377781923. The next prime is 6377781967. The reversal of 6377781948 is 8491877736.

It is a super-2 number, since 2×6377781948² = 81352205152469349408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6377781891 and 6377781900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6864748 + ... + 6865676.

It is an arithmetic number, because the mean of its divisors is an integer number (166922910).

Almost surely, 2^6377781948 is an apocalyptic number.

6377781948 is a gapful number since it is divisible by the number (68) 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 6377781948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8012299680).

6377781948 is an abundant number, since it is smaller than the sum of its proper divisors (9646817412).

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

6377781948 is a wasteful number, since it uses less digits than its factorization.

6377781948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1485 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 60.

The square root of 6377781948 is about 79861.0164473255. The cubic root of 6377781948 is about 1854.4845619787.

The spelling of 6377781948 in words is "six billion, three hundred seventy-seven million, seven hundred eighty-one thousand, nine hundred forty-eight".