39864948480 has 864 divisors, whose sum is σ = 167503085568. Its totient is φ = 8559820800.

The previous prime is 39864948457. The next prime is 39864948493. The reversal of 39864948480 is 8484946893.

39864948480 is a `hidden beast` number, since 3 + 9 + 8 + 64 + 94 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92493865 + ... + 92494295.

It is an arithmetic number, because the mean of its divisors is an integer number (193869312).

Almost surely, 2^39864948480 is an apocalyptic number.

39864948480 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 39864948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83751542784).

39864948480 is an abundant number, since it is smaller than the sum of its proper divisors (127638137088).

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

39864948480 is a wasteful number, since it uses less digits than its factorization.

39864948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 39864948480 in words is "thirty-nine billion, eight hundred sixty-four million, nine hundred forty-eight thousand, four hundred eighty".