7701328675040 has 2304 divisors, whose sum is σ = 27492514560000. Its totient is φ = 2011969290240.

The previous prime is 7701328675031. The next prime is 7701328675049. The reversal of 7701328675040 is 405768231077.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7701328675031) and next prime (7701328675049).

It is a self number, because there is not a number n which added to its sum of digits gives 7701328675040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7701328675049) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 56214077852 + ... + 56214077988.

It is an arithmetic number, because the mean of its divisors is an integer number (11932515000).

Almost surely, 2^{7701328675040} is an apocalyptic number.

7701328675040 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 7701328675040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13746257280000).

7701328675040 is an abundant number, since it is smaller than the sum of its proper divisors (19791185884960).

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

7701328675040 is a wasteful number, since it uses less digits than its factorization.

7701328675040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 50.

The spelling of 7701328675040 in words is "seven trillion, seven hundred one billion, three hundred twenty-eight million, six hundred seventy-five thousand, forty".