7642663560 has 192 divisors, whose sum is σ = 29621479680. Its totient is φ = 1670929920.

The previous prime is 7642663559. The next prime is 7642663573. The reversal of 7642663560 is 653662467.

7642663560 is a `hidden beast` number, since 7 + 6 + 4 + 2 + 6 + 635 + 6 + 0 = 666.

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, 7971 + ... + 123890.

It is an arithmetic number, because the mean of its divisors is an integer number (154278540).

Almost surely, 2^7642663560 is an apocalyptic number.

7642663560 is a gapful number since it is divisible by the number (70) 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 7642663560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14810739840).

7642663560 is an abundant number, since it is smaller than the sum of its proper divisors (21978816120).

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

7642663560 is a wasteful number, since it uses less digits than its factorization.

7642663560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131908 (or 131901 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 7642663560 is about 87422.3287267046. The cubic root of 7642663560 is about 1969.7672567249.

The spelling of 7642663560 in words is "seven billion, six hundred forty-two million, six hundred sixty-three thousand, five hundred sixty".