7811451648 has 576 divisors, whose sum is σ = 31042636800. Its totient is φ = 1871216640.

The previous prime is 7811451643. The next prime is 7811451691. The reversal of 7811451648 is 8461541187.

7811451648 is a `hidden beast` number, since 7 + 81 + 14 + 516 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×7811451648² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7811451643) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 6918348 + ... + 6919476.

Almost surely, 2^7811451648 is an apocalyptic number.

7811451648 is a gapful number since it is divisible by the number (78) 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 7811451648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15521318400).

7811451648 is an abundant number, since it is smaller than the sum of its proper divisors (23231185152).

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

7811451648 is a wasteful number, since it uses less digits than its factorization.

7811451648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1165 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 7811451648 is about 88382.4170748911. The cubic root of 7811451648 is about 1984.1625560530.

The spelling of 7811451648 in words is "seven billion, eight hundred eleven million, four hundred fifty-one thousand, six hundred forty-eight".