7629480322560 has 640 divisors, whose sum is σ = 27892437091200. Its totient is φ = 1975314677760.

The previous prime is 7629480322559. The next prime is 7629480322561. The reversal of 7629480322560 is 652230849267.

7629480322560 is a `hidden beast` number, since 7 + 6 + 2 + 9 + 48 + 0 + 32 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (7629480322559) and next prime (7629480322561).

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct 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 = 7629480322497 and 7629480322506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7629480322561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1301734030 + ... + 1301739890.

It is an arithmetic number, because the mean of its divisors is an integer number (43581932955).

Almost surely, 2^{7629480322560} 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 7629480322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13946218545600).

7629480322560 is an abundant number, since it is smaller than the sum of its proper divisors (20262956768640).

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

7629480322560 is a wasteful number, since it uses less digits than its factorization.

7629480322560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6439 (or 6417 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 7629480322560 in words is "seven trillion, six hundred twenty-nine billion, four hundred eighty million, three hundred twenty-two thousand, five hundred sixty".