9378610401600 has 1680 divisors, whose sum is σ = 40899671271360. Its totient is φ = 2081828044800.

The previous prime is 9378610401593. The next prime is 9378610401631. The reversal of 9378610401600 is 61040168739.

It is a happy number.

9378610401600 is a `hidden beast` number, since 9 + 37 + 8 + 6 + 1 + 0 + 4 + 0 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 896697171 + ... + 896707629.

Almost surely, 2^{9378610401600} is an apocalyptic number.

9378610401600 is a gapful number since it is divisible by the number (90) 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 9378610401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20449835635680).

9378610401600 is an abundant number, since it is smaller than the sum of its proper divisors (31521060869760).

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

9378610401600 is a wasteful number, since it uses less digits than its factorization.

9378610401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10558 (or 10534 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 9378610401600 in words is "nine trillion, three hundred seventy-eight billion, six hundred ten million, four hundred one thousand, six hundred".