7649678131200 has 1224 divisors, whose sum is σ = 32179771785408. Its totient is φ = 1700391813120.

The previous prime is 7649678131019. The next prime is 7649678131201. The reversal of 7649678131200 is 21318769467.

7649678131200 is a `hidden beast` number, since 76 + 496 + 7 + 81 + 3 + 1 + 2 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (7649678131201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3819109399 + ... + 3819111401.

Almost surely, 2^{7649678131200} is an apocalyptic number.

7649678131200 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 7649678131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16089885892704).

7649678131200 is an abundant number, since it is smaller than the sum of its proper divisors (24530093654208).

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

7649678131200 is a wasteful number, since it uses less digits than its factorization.

7649678131200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 7649678131200 in words is "seven trillion, six hundred forty-nine billion, six hundred seventy-eight million, one hundred thirty-one thousand, two hundred".