34669080864000 has 1440 divisors, whose sum is σ = 141550094125440. Its totient is φ = 8356442112000.

The previous prime is 34669080863947. The next prime is 34669080864043. The reversal of 34669080864000 is 46808096643.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5103644604 + ... + 5103651396.

It is an arithmetic number, because the mean of its divisors is an integer number (98298676476).

Almost surely, 2^{34669080864000} is an apocalyptic number.

34669080864000 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 34669080864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70775047062720).

34669080864000 is an abundant number, since it is smaller than the sum of its proper divisors (106881013261440).

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

34669080864000 is a wasteful number, since it uses less digits than its factorization.

34669080864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7026 (or 6993 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 34669080864000 in words is "thirty-four trillion, six hundred sixty-nine billion, eighty million, eight hundred sixty-four thousand".