7940576448 has 280 divisors, whose sum is σ = 27128532992. Its totient is φ = 2249565696.

The previous prime is 7940576447. The next prime is 7940576471. The reversal of 7940576448 is 8446750497.

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 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 = 7940576394 and 7940576403.

It is not an unprimeable number, because it can be changed into a prime (7940576443) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4607715 + ... + 4609437.

Almost surely, 2^7940576448 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 7940576448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13564266496).

7940576448 is an abundant number, since it is smaller than the sum of its proper divisors (19187956544).

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

7940576448 is a wasteful number, since it uses less digits than its factorization.

7940576448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The square root of 7940576448 is about 89109.9121759190. The cubic root of 7940576448 is about 1995.0357255177.

The spelling of 7940576448 in words is "seven billion, nine hundred forty million, five hundred seventy-six thousand, four hundred forty-eight".