7826953680 has 480 divisors, whose sum is σ = 34259307264. Its totient is φ = 1554038784.

The previous prime is 7826953627. The next prime is 7826953721. The reversal of 7826953680 is 863596287.

It is a happy number.

7826953680 is a `hidden beast` number, since 7 + 8 + 26 + 9 + 536 + 80 = 666.

It is a super-2 number, since 2×7826953680² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1110327 + ... + 1117353.

Almost surely, 2^7826953680 is an apocalyptic number.

7826953680 is a gapful number since it is divisible by the number (70) 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 7826953680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17129653632).

7826953680 is an abundant number, since it is smaller than the sum of its proper divisors (26432353584).

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

7826953680 is a wasteful number, since it uses less digits than its factorization.

7826953680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7083 (or 7074 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 7826953680 is about 88470.0722278444. The cubic root of 7826953680 is about 1985.4742297416.

The spelling of 7826953680 in words is "seven billion, eight hundred twenty-six million, nine hundred fifty-three thousand, six hundred eighty".