39604380480 has 672 divisors, whose sum is σ = 167204404224. Its totient is φ = 8397914112.

The previous prime is 39604380467. The next prime is 39604380481. The reversal of 39604380480 is 8408340693.

39604380480 is a `hidden beast` number, since 3 + 9 + 604 + 38 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39604380481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25017769 + ... + 25019351.

Almost surely, 2^39604380480 is an apocalyptic number.

39604380480 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 39604380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83602202112).

39604380480 is an abundant number, since it is smaller than the sum of its proper divisors (127600023744).

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

39604380480 is a wasteful number, since it uses less digits than its factorization.

39604380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 39604380480 in words is "thirty-nine billion, six hundred four million, three hundred eighty thousand, four hundred eighty".