39628320768 has 260 divisors, whose sum is σ = 122231737408. Its totient is φ = 12780011520.

The previous prime is 39628320763. The next prime is 39628320803. The reversal of 39628320768 is 86702382693.

It is a happy number.

39628320768 is a `hidden beast` number, since 3 + 9 + 628 + 3 + 2 + 0 + 7 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (39628320761) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10283130 + ... + 10286982.

Almost surely, 2^39628320768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39628320768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61115868704).

39628320768 is an abundant number, since it is smaller than the sum of its proper divisors (82603416640).

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

39628320768 is an equidigital number, since it uses as much as digits as its factorization.

39628320768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3920 (or 3889 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 39628320768 in words is "thirty-nine billion, six hundred twenty-eight million, three hundred twenty thousand, seven hundred sixty-eight".