69126079486464 has 1920 divisors, whose sum is σ = 288988936524288. Its totient is φ = 15303526318080.

The previous prime is 69126079486459. The next prime is 69126079486487. The reversal of 69126079486464 is 46468497062196.

69126079486464 is a `hidden beast` number, since 6 + 9 + 1 + 2 + 607 + 9 + 4 + 8 + 6 + 4 + 6 + 4 = 666.

69126079486464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 69126079486392 and 69126079486401.

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, 4155951492 + ... + 4155968124.

Almost surely, 2^{69126079486464} is an apocalyptic number.

69126079486464 is a gapful number since it is divisible by the number (64) 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 69126079486464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144494468262144).

69126079486464 is an abundant number, since it is smaller than the sum of its proper divisors (219862857037824).

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

69126079486464 is a wasteful number, since it uses less digits than its factorization.

69126079486464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16758 (or 16739 counting only the distinct ones).

The product of its (nonzero) digits is 752467968, while the sum is 72.

The spelling of 69126079486464 in words is "sixty-nine trillion, one hundred twenty-six billion, seventy-nine million, four hundred eighty-six thousand, four hundred sixty-four".