7634094048 has 192 divisors, whose sum is σ = 25492400640. Its totient is φ = 2177280000.

The previous prime is 7634094043. The next prime is 7634094049. The reversal of 7634094048 is 8404904367.

7634094048 is a `hidden beast` number, since 7 + 634 + 0 + 9 + 4 + 0 + 4 + 8 = 666.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 7634093994 and 7634094012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7634094043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6355848 + ... + 6357048.

It is an arithmetic number, because the mean of its divisors is an integer number (132772920).

Almost surely, 2^7634094048 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 7634094048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12746200320).

7634094048 is an abundant number, since it is smaller than the sum of its proper divisors (17858306592).

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

7634094048 is a wasteful number, since it uses less digits than its factorization.

7634094048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 7634094048 is about 87373.3028333026. The cubic root of 7634094048 is about 1969.0307657990.

The spelling of 7634094048 in words is "seven billion, six hundred thirty-four million, ninety-four thousand, forty-eight".