7650996976800 has 720 divisors, whose sum is σ = 28352886674112. Its totient is φ = 2007394099200.

The previous prime is 7650996976783. The next prime is 7650996976807. The reversal of 7650996976800 is 86796990567.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (7650996976807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2700668184 + ... + 2700671016.

Almost surely, 2^{7650996976800} 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 7650996976800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14176443337056).

7650996976800 is an abundant number, since it is smaller than the sum of its proper divisors (20701889697312).

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

7650996976800 is a wasteful number, since it uses less digits than its factorization.

7650996976800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3523 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 308629440, while the sum is 72.

The spelling of 7650996976800 in words is "seven trillion, six hundred fifty billion, nine hundred ninety-six million, nine hundred seventy-six thousand, eight hundred".