8023661798400 has 1056 divisors, whose sum is σ = 30975950745600. Its totient is φ = 2031331737600.

The previous prime is 8023661798389. The next prime is 8023661798441. The reversal of 8023661798400 is 48971663208.

8023661798400 is a `hidden beast` number, since 8 + 0 + 2 + 3 + 66 + 179 + 8 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2209764585 + ... + 2209768215.

Almost surely, 2^{8023661798400} is an apocalyptic number.

8023661798400 is a gapful number since it is divisible by the number (80) 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 8023661798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15487975372800).

8023661798400 is an abundant number, since it is smaller than the sum of its proper divisors (22952288947200).

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

8023661798400 is a wasteful number, since it uses less digits than its factorization.

8023661798400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3832 (or 3803 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 8023661798400 in words is "eight trillion, twenty-three billion, six hundred sixty-one million, seven hundred ninety-eight thousand, four hundred".