7978007520000 has 2700 divisors, whose sum is σ = 36663707951640. Its totient is φ = 1713954816000.

The previous prime is 7978007519971. The next prime is 7978007520001. The reversal of 7978007520000 is 257008797.

It is a tau number, because it is divible by the number of its divisors (2700).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7978007520001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 10795679631 + ... + 10795680369.

Almost surely, 2^{7978007520000} is an apocalyptic number.

7978007520000 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 7978007520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18331853975820).

7978007520000 is an abundant number, since it is smaller than the sum of its proper divisors (28685700431640).

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

7978007520000 is an equidigital number, since it uses as much as digits as its factorization.

7978007520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 7978007520000 in words is "seven trillion, nine hundred seventy-eight billion, seven million, five hundred twenty thousand".