26676145620 has 144 divisors (see below), whose sum is σ = 81745792128. Its totient is φ = 7041219840.

The previous prime is 26676145607. The next prime is 26676145621. The reversal of 26676145620 is 2654167662.

26676145620 is a `hidden beast` number, since 2 + 6 + 6 + 7 + 6 + 14 + 5 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26676145621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7393857 + ... + 7397463.

It is an arithmetic number, because the mean of its divisors is an integer number (567679112).

Almost surely, 2^26676145620 is an apocalyptic number.

26676145620 is a gapful number since it is divisible by the number (20) 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 26676145620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40872896064).

26676145620 is an abundant number, since it is smaller than the sum of its proper divisors (55069646508).

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

26676145620 is a wasteful number, since it uses less digits than its factorization.

26676145620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4025 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 26676145620 in words is "twenty-six billion, six hundred seventy-six million, one hundred forty-five thousand, six hundred twenty".