6732617988096 has 1728 divisors, whose sum is σ = 26882312184000. Its totient is φ = 1611829739520.

The previous prime is 6732617988067. The next prime is 6732617988119. The reversal of 6732617988096 is 6908897162376.

It is a super-5 number, since 5×6732617988096⁵ (a number of 65 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9944782510 + ... + 9944783186.

It is an arithmetic number, because the mean of its divisors is an integer number (15556893625).

Almost surely, 2^{6732617988096} is an apocalyptic number.

6732617988096 is a gapful number since it is divisible by the number (66) 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 6732617988096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441156092000).

6732617988096 is an abundant number, since it is smaller than the sum of its proper divisors (20149694195904).

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

6732617988096 is a wasteful number, since it uses less digits than its factorization.

6732617988096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 6732617988096 in words is "six trillion, seven hundred thirty-two billion, six hundred seventeen million, nine hundred eighty-eight thousand, ninety-six".