6262213078128 has 320 divisors, whose sum is σ = 20336277823488. Its totient is φ = 1619248250880.

The previous prime is 6262213078117. The next prime is 6262213078153. The reversal of 6262213078128 is 8218703122626.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27687676 + ... + 27912932.

Almost surely, 2^{6262213078128} is an apocalyptic number.

6262213078128 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 6262213078128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10168138911744).

6262213078128 is an abundant number, since it is smaller than the sum of its proper divisors (14074064745360).

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

6262213078128 is a wasteful number, since it uses less digits than its factorization.

6262213078128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225480 (or 225474 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 6262213078128 in words is "six trillion, two hundred sixty-two billion, two hundred thirteen million, seventy-eight thousand, one hundred twenty-eight".