26007920640 has 784 divisors, whose sum is σ = 102282607728. Its totient is φ = 6306398208.

The previous prime is 26007920633. The next prime is 26007920711. The reversal of 26007920640 is 4602970062.

It is a happy number.

26007920640 is a `hidden beast` number, since 2 + 6 + 0 + 0 + 7 + 9 + 2 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26007920595 and 26007920604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 388177887 + ... + 388177953.

Almost surely, 2^26007920640 is an apocalyptic number.

26007920640 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 26007920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51141303864).

26007920640 is an abundant number, since it is smaller than the sum of its proper divisors (76274687088).

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

26007920640 is an frugal number, since it uses more digits than its factorization.

26007920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 26007920640 in words is "twenty-six billion, seven million, nine hundred twenty thousand, six hundred forty".