7898766321600 has 2352 divisors, whose sum is σ = 37516229093376. Its totient is φ = 1587796992000.

The previous prime is 7898766321599. The next prime is 7898766321661. The reversal of 7898766321600 is 61236678987.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 2784195382 + ... + 2784198218.

Almost surely, 2^{7898766321600} is an apocalyptic number.

7898766321600 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 7898766321600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18758114546688).

7898766321600 is an abundant number, since it is smaller than the sum of its proper divisors (29617462771776).

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

7898766321600 is a wasteful number, since it uses less digits than its factorization.

7898766321600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2926 (or 2896 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 7898766321600 in words is "seven trillion, eight hundred ninety-eight billion, seven hundred sixty-six million, three hundred twenty-one thousand, six hundred".