7938437770560 has 1792 divisors, whose sum is σ = 31879758643200. Its totient is φ = 1647732326400.

The previous prime is 7938437770547. The next prime is 7938437770561. The reversal of 7938437770560 is 650777348397.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 7938437770491 and 7938437770500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7938437770561) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20407294846 + ... + 20407295234.

Almost surely, 2^{7938437770560} 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 7938437770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15939879321600).

7938437770560 is an abundant number, since it is smaller than the sum of its proper divisors (23941320872640).

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

7938437770560 is a wasteful number, since it uses less digits than its factorization.

7938437770560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 680 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 186701760, while the sum is 66.

The spelling of 7938437770560 in words is "seven trillion, nine hundred thirty-eight billion, four hundred thirty-seven million, seven hundred seventy thousand, five hundred sixty".