32478990336000 has 4096 divisors, whose sum is σ = 144273467520000. Its totient is φ = 7134511104000.

The previous prime is 32478990335983. The next prime is 32478990336011. The reversal of 32478990336000 is 63309987423.

32478990336000 is a `hidden beast` number, since 3 + 24 + 7 + 8 + 9 + 9 + 0 + 3 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4096).

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

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, 792170495980 + ... + 792170496020.

Almost surely, 2^{32478990336000} is an apocalyptic number.

32478990336000 is a gapful number since it is divisible by the number (30) 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 32478990336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72136733760000).

32478990336000 is an abundant number, since it is smaller than the sum of its proper divisors (111794477184000).

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

32478990336000 is a wasteful number, since it uses less digits than its factorization.

32478990336000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 32478990336000 in words is "thirty-two trillion, four hundred seventy-eight billion, nine hundred ninety million, three hundred thirty-six thousand".