7895661312000 has 3072 divisors, whose sum is σ = 34853201510400. Its totient is φ = 1539440640000.

The previous prime is 7895661311933. The next prime is 7895661312037. The reversal of 7895661312000 is 2131665987.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-2 number, since 2×7895661312000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 108159743964 + ... + 108159744036.

It is an arithmetic number, because the mean of its divisors is an integer number (11345443200).

Almost surely, 2^{7895661312000} is an apocalyptic number.

7895661312000 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 7895661312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17426600755200).

7895661312000 is an abundant number, since it is smaller than the sum of its proper divisors (26957540198400).

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

7895661312000 is a wasteful number, since it uses less digits than its factorization.

7895661312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

Adding to 7895661312000 its reverse (2131665987), we get a palindrome (7897792977987).

The spelling of 7895661312000 in words is "seven trillion, eight hundred ninety-five billion, six hundred sixty-one million, three hundred twelve thousand".