33678747648 has 960 divisors, whose sum is σ = 130525274880. Its totient is φ = 8408530944.

The previous prime is 33678747631. The next prime is 33678747677. The reversal of 33678747648 is 84674787633.

It is a happy number.

It is a super-2 number, since 2×33678747648² (a number of 22 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 347203536 + ... + 347203632.

It is an arithmetic number, because the mean of its divisors is an integer number (135963828).

Almost surely, 2^33678747648 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 33678747648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65262637440).

33678747648 is an abundant number, since it is smaller than the sum of its proper divisors (96846527232).

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

33678747648 is a wasteful number, since it uses less digits than its factorization.

33678747648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 145 counting only the distinct ones).

The product of its digits is 113799168, while the sum is 63.

The spelling of 33678747648 in words is "thirty-three billion, six hundred seventy-eight million, seven hundred forty-seven thousand, six hundred forty-eight".