26940633480 has 256 divisors, whose sum is σ = 92480256000. Its totient is φ = 6972086016.

The previous prime is 26940633443. The next prime is 26940633491. The reversal of 26940633480 is 8433604962.

26940633480 is a `hidden beast` number, since 2 + 6 + 9 + 4 + 0 + 633 + 4 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7567941 + ... + 7571499.

It is an arithmetic number, because the mean of its divisors is an integer number (361251000).

Almost surely, 2^26940633480 is an apocalyptic number.

26940633480 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 26940633480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46240128000).

26940633480 is an abundant number, since it is smaller than the sum of its proper divisors (65539622520).

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

26940633480 is a wasteful number, since it uses less digits than its factorization.

26940633480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 26940633480 in words is "twenty-six billion, nine hundred forty million, six hundred thirty-three thousand, four hundred eighty".