7883946047400 has 192 divisors, whose sum is σ = 25882387617600. Its totient is φ = 1978372239360.

The previous prime is 7883946047377. The next prime is 7883946047401. The reversal of 7883946047400 is 47406493887.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (7883946047401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61431699 + ... + 61559901.

It is an arithmetic number, because the mean of its divisors is an integer number (134804102175).

Almost surely, 2^{7883946047400} 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 7883946047400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12941193808800).

7883946047400 is an abundant number, since it is smaller than the sum of its proper divisors (17998441570200).

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

7883946047400 is a wasteful number, since it uses less digits than its factorization.

7883946047400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134268 (or 134259 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 60.

The spelling of 7883946047400 in words is "seven trillion, eight hundred eighty-three billion, nine hundred forty-six million, forty-seven thousand, four hundred".