7780070018448 has 960 divisors, whose sum is σ = 30167456659200. Its totient is φ = 1896428298240.

The previous prime is 7780070018437. The next prime is 7780070018473. The reversal of 7780070018448 is 8448100700877.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 7780070018394 and 7780070018403.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 214350190 + ... + 214386482.

It is an arithmetic number, because the mean of its divisors is an integer number (31424434020).

Almost surely, 2^{7780070018448} is an apocalyptic number.

7780070018448 is a gapful number since it is divisible by the number (78) 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 7780070018448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15083728329600).

7780070018448 is an abundant number, since it is smaller than the sum of its proper divisors (22387386640752).

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

7780070018448 is a wasteful number, since it uses less digits than its factorization.

7780070018448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36397 (or 36378 counting only the distinct ones).

The product of its (nonzero) digits is 2809856, while the sum is 54.

The spelling of 7780070018448 in words is "seven trillion, seven hundred eighty billion, seventy million, eighteen thousand, four hundred forty-eight".