7643502247680 has 1008 divisors, whose sum is σ = 29638107890496. Its totient is φ = 1876631224320.

The previous prime is 7643502247669. The next prime is 7643502247699. The reversal of 7643502247680 is 867422053467.

7643502247680 is a `hidden beast` number, since 7 + 6 + 4 + 350 + 224 + 7 + 68 + 0 = 666.

It is a super-2 number, since 2×7643502247680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7775688469 + ... + 7775689451.

It is an arithmetic number, because the mean of its divisors is an integer number (29402884812).

Almost surely, 2^{7643502247680} 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 7643502247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14819053945248).

7643502247680 is an abundant number, since it is smaller than the sum of its proper divisors (21994605642816).

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

7643502247680 is an equidigital number, since it uses as much as digits as its factorization.

7643502247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 7643502247680 in words is "seven trillion, six hundred forty-three billion, five hundred two million, two hundred forty-seven thousand, six hundred eighty".