7543782457680 has 640 divisors, whose sum is σ = 27381698887680. Its totient is φ = 1682540421120.

The previous prime is 7543782457613. The next prime is 7543782457699. The reversal of 7543782457680 is 867542873457.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11142957502 + ... + 11142958178.

It is an arithmetic number, because the mean of its divisors is an integer number (42783904512).

Almost surely, 2^{7543782457680} is an apocalyptic number.

7543782457680 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 7543782457680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13690849443840).

7543782457680 is an abundant number, since it is smaller than the sum of its proper divisors (19837916430000).

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

7543782457680 is a wasteful number, since it uses less digits than its factorization.

7543782457680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1467 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 316108800, while the sum is 66.

The spelling of 7543782457680 in words is "seven trillion, five hundred forty-three billion, seven hundred eighty-two million, four hundred fifty-seven thousand, six hundred eighty".