7653040387200 has 1152 divisors, whose sum is σ = 30774490306560. Its totient is φ = 1796788224000.

The previous prime is 7653040387079. The next prime is 7653040387229. The reversal of 7653040387200 is 27830403567.

7653040387200 is a `hidden beast` number, since 7 + 6 + 5 + 30 + 403 + 8 + 7 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×7653040387200² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3625314145 + ... + 3625316255.

It is an arithmetic number, because the mean of its divisors is an integer number (26713967280).

Almost surely, 2^{7653040387200} 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 7653040387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15387245153280).

7653040387200 is an abundant number, since it is smaller than the sum of its proper divisors (23121449919360).

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

7653040387200 is a wasteful number, since it uses less digits than its factorization.

7653040387200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2598 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 7653040387200 in words is "seven trillion, six hundred fifty-three billion, forty million, three hundred eighty-seven thousand, two hundred".