7760126390016 has 576 divisors, whose sum is σ = 28320378863616. Its totient is φ = 1820974694400.

The previous prime is 7760126390011. The next prime is 7760126390053. The reversal of 7760126390016 is 6100936210677.

It is a happy number.

It is a super-2 number, since 2×7760126390016² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7760126390011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36024711 + ... + 36239481.

It is an arithmetic number, because the mean of its divisors is an integer number (49167324416).

Almost surely, 2^{7760126390016} 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 7760126390016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14160189431808).

7760126390016 is an abundant number, since it is smaller than the sum of its proper divisors (20560252473600).

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

7760126390016 is a wasteful number, since it uses less digits than its factorization.

7760126390016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214868 (or 214854 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 7760126390016 in words is "seven trillion, seven hundred sixty billion, one hundred twenty-six million, three hundred ninety thousand, sixteen".