7967520000 has 540 divisors, whose sum is σ = 31378130784. Its totient is φ = 1927680000.

The previous prime is 7967519969. The next prime is 7967520073. The reversal of 7967520000 is 257697.

7967520000 is a `hidden beast` number, since 79 + 67 + 520 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15839749 + ... + 15840251.

Almost surely, 2^7967520000 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 7967520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15689065392).

7967520000 is an abundant number, since it is smaller than the sum of its proper divisors (23410610784).

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

7967520000 is a wasteful number, since it uses less digits than its factorization.

7967520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 7967520000 is about 89260.9657129027. The cubic root of 7967520000 is about 1997.2896620265.

Adding to 7967520000 its reverse (257697), we get a palindrome (7967777697).

The spelling of 7967520000 in words is "seven billion, nine hundred sixty-seven million, five hundred twenty thousand".