7647724340980 has 144 divisors (see below), whose sum is σ = 17357672666880. Its totient is φ = 2822299200000.

The previous prime is 7647724340947. The next prime is 7647724340981. The reversal of 7647724340980 is 890434277467.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7647724340981) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142785205 + ... + 142838755.

It is an arithmetic number, because the mean of its divisors is an integer number (120539393520).

Almost surely, 2^{7647724340980} 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 7647724340980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8678836333440).

7647724340980 is an abundant number, since it is smaller than the sum of its proper divisors (9709948325900).

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

7647724340980 is a wasteful number, since it uses less digits than its factorization.

7647724340980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53802 (or 53739 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 61.

The spelling of 7647724340980 in words is "seven trillion, six hundred forty-seven billion, seven hundred twenty-four million, three hundred forty thousand, nine hundred eighty".