7642776960 has 576 divisors, whose sum is σ = 33077706480. Its totient is φ = 1611767808.

The previous prime is 7642776937. The next prime is 7642777001. The reversal of 7642776960 is 696772467.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 7642776897 and 7642776906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3668079 + ... + 3670161.

Almost surely, 2^7642776960 is an apocalyptic number.

7642776960 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 7642776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16538853240).

7642776960 is an abundant number, since it is smaller than the sum of its proper divisors (25434929520).

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

7642776960 is a wasteful number, since it uses less digits than its factorization.

7642776960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2135 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The square root of 7642776960 is about 87422.9773000211. The cubic root of 7642776960 is about 1969.7769989874.

The spelling of 7642776960 in words is "seven billion, six hundred forty-two million, seven hundred seventy-six thousand, nine hundred sixty".