7786274496 has 672 divisors, whose sum is σ = 29057925120. Its totient is φ = 1788272640.

The previous prime is 7786274473. The next prime is 7786274501. The reversal of 7786274496 is 6944726877.

It is a tau number, because it is divible by the number of its divisors (672).

Its product of digits (28449792) is a multiple of the sum of its prime divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61309185 + ... + 61309311.

It is an arithmetic number, because the mean of its divisors is an integer number (43240960).

Almost surely, 2^7786274496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7786274496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14528962560).

7786274496 is an abundant number, since it is smaller than the sum of its proper divisors (21271650624).

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

7786274496 is a wasteful number, since it uses less digits than its factorization.

7786274496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 192 counting only the distinct ones).

The product of its digits is 28449792, while the sum is 60.

The square root of 7786274496 is about 88239.8690842184. The cubic root of 7786274496 is about 1982.0285383077.

It can be divided in two parts, 7786 and 274496, that added together give a palindrome (282282).

The spelling of 7786274496 in words is "seven billion, seven hundred eighty-six million, two hundred seventy-four thousand, four hundred ninety-six".