7919451648 has 240 divisors, whose sum is σ = 24169921776. Its totient is φ = 2587852800.

The previous prime is 7919451623. The next prime is 7919451671. The reversal of 7919451648 is 8461549197.

7919451648 is a `hidden beast` number, since 79 + 19 + 4 + 516 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7919451594 and 7919451603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6593448 + ... + 6594648.

Almost surely, 2^7919451648 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 7919451648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12084960888).

7919451648 is an abundant number, since it is smaller than the sum of its proper divisors (16250470128).

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

7919451648 is an equidigital number, since it uses as much as digits as its factorization.

7919451648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1287 (or 1259 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 7919451648 is about 88991.3009681283. The cubic root of 7919451648 is about 1993.2649825620.

The spelling of 7919451648 in words is "seven billion, nine hundred nineteen million, four hundred fifty-one thousand, six hundred forty-eight".