32123750424480 has 768 divisors, whose sum is σ = 135161222676480. Its totient is φ = 7021350604800.

The previous prime is 32123750424461. The next prime is 32123750424481. The reversal of 32123750424480 is 8442405732123.

32123750424480 is a `hidden beast` number, since 3 + 2 + 1 + 23 + 7 + 504 + 2 + 44 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (32123750424481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25959025 + ... + 27168335.

It is an arithmetic number, because the mean of its divisors is an integer number (175991175360).

Almost surely, 2^{32123750424480} is an apocalyptic number.

32123750424480 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 32123750424480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67580611338240).

32123750424480 is an abundant number, since it is smaller than the sum of its proper divisors (103037472252000).

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

32123750424480 is a wasteful number, since it uses less digits than its factorization.

32123750424480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209402 (or 1209388 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 32123750424480 in words is "thirty-two trillion, one hundred twenty-three billion, seven hundred fifty million, four hundred twenty-four thousand, four hundred eighty".