7894016640 has 384 divisors, whose sum is σ = 30388737600. Its totient is φ = 1876525056.

The previous prime is 7894016633. The next prime is 7894016651. The reversal of 7894016640 is 466104987.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1858359 + ... + 1862601.

Almost surely, 2^7894016640 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 7894016640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15194368800).

7894016640 is an abundant number, since it is smaller than the sum of its proper divisors (22494720960).

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

7894016640 is a wasteful number, since it uses less digits than its factorization.

7894016640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4304 (or 4289 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 7894016640 is about 88848.2787677961. The cubic root of 7894016640 is about 1991.1287620819.

The spelling of 7894016640 in words is "seven billion, eight hundred ninety-four million, sixteen thousand, six hundred forty".