6277135966380 has 576 divisors, whose sum is σ = 21755716190208. Its totient is φ = 1455653928960.

The previous prime is 6277135966331. The next prime is 6277135966393. The reversal of 6277135966380 is 836695317726.

6277135966380 is a `hidden beast` number, since 6 + 2 + 7 + 7 + 1 + 3 + 596 + 6 + 38 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1346155929 + ... + 1346160591.

It is an arithmetic number, because the mean of its divisors is an integer number (37770340608).

Almost surely, 2^{6277135966380} is an apocalyptic number.

6277135966380 is a gapful number since it is divisible by the number (60) 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 6277135966380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10877858095104).

6277135966380 is an abundant number, since it is smaller than the sum of its proper divisors (15478580223828).

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

6277135966380 is a wasteful number, since it uses less digits than its factorization.

6277135966380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5366 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 6277135966380 in words is "six trillion, two hundred seventy-seven billion, one hundred thirty-five million, nine hundred sixty-six thousand, three hundred eighty".