4532377006080 has 3120 divisors, whose sum is σ = 21330072488736. Its totient is φ = 909650165760.

The previous prime is 4532377006061. The next prime is 4532377006093. The reversal of 4532377006080 is 806007732354.

4532377006080 is a `hidden beast` number, since 4 + 5 + 3 + 2 + 37 + 7 + 0 + 0 + 608 + 0 = 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, 33083043772 + ... + 33083043908.

Almost surely, 2^{4532377006080} is an apocalyptic number.

4532377006080 is a gapful number since it is divisible by the number (40) 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 4532377006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10665036244368).

4532377006080 is an abundant number, since it is smaller than the sum of its proper divisors (16797695482656).

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

4532377006080 is a wasteful number, since it uses less digits than its factorization.

4532377006080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 4532377006080 in words is "four trillion, five hundred thirty-two billion, three hundred seventy-seven million, six thousand, eighty".