16367277061632 has 640 divisors, whose sum is σ = 51833082470400. Its totient is φ = 4492704153600.

The previous prime is 16367277061631. The next prime is 16367277061633. The reversal of 16367277061632 is 23616077276361.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16367277061631) and next prime (16367277061633).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16367277061631) 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, 8027108869 + ... + 8027110907.

It is an arithmetic number, because the mean of its divisors is an integer number (80989191360).

Almost surely, 2^{16367277061632} is an apocalyptic number.

16367277061632 is a gapful number since it is divisible by the number (12) 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 16367277061632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25916541235200).

16367277061632 is an abundant number, since it is smaller than the sum of its proper divisors (35465805408768).

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

16367277061632 is a wasteful number, since it uses less digits than its factorization.

16367277061632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 16003008, while the sum is 57.

The spelling of 16367277061632 in words is "sixteen trillion, three hundred sixty-seven billion, two hundred seventy-seven million, sixty-one thousand, six hundred thirty-two".