8402126269680 has 1920 divisors, whose sum is σ = 35616893706240. Its totient is φ = 1806520320000.

The previous prime is 8402126269657. The next prime is 8402126269787. The reversal of 8402126269680 is 869626212048.

8402126269680 is a `hidden beast` number, since 8 + 4 + 0 + 2 + 1 + 2 + 626 + 9 + 6 + 8 + 0 = 666.

It is a super-3 number, since 3×8402126269680³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25384067115 + ... + 25384067445.

It is an arithmetic number, because the mean of its divisors is an integer number (18550465472).

Almost surely, 2^{8402126269680} is an apocalyptic number.

8402126269680 is a gapful number since it is divisible by the number (80) 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 8402126269680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17808446853120).

8402126269680 is an abundant number, since it is smaller than the sum of its proper divisors (27214767436560).

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

8402126269680 is a wasteful number, since it uses less digits than its factorization.

8402126269680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 8402126269680 in words is "eight trillion, four hundred two billion, one hundred twenty-six million, two hundred sixty-nine thousand, six hundred eighty".