7540829239680 has 320 divisors, whose sum is σ = 29377816134480. Its totient is φ = 1828079677440.

The previous prime is 7540829239637. The next prime is 7540829239687. The reversal of 7540829239680 is 869329280457.

7540829239680 is a `hidden beast` number, since 7 + 5 + 4 + 0 + 82 + 92 + 396 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7540829239687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6041739 + ... + 7182218.

Almost surely, 2^{7540829239680} is an apocalyptic number.

It is an amenable number.

7540829239680 is an abundant number, since it is smaller than the sum of its proper divisors (21836986894800).

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

7540829239680 is a wasteful number, since it uses less digits than its factorization.

7540829239680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13223999 (or 13223978 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 7540829239680 in words is "seven trillion, five hundred forty billion, eight hundred twenty-nine million, two hundred thirty-nine thousand, six hundred eighty".