5467663340400 has 120 divisors (see below), whose sum is σ = 17597757334144. Its totient is φ = 1451133331200.

The previous prime is 5467663340387. The next prime is 5467663340401. The reversal of 5467663340400 is 40433667645.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (48) 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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5467663340400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5467663340401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10543924 + ... + 11050323.

Almost surely, 2^{5467663340400} is an apocalyptic number.

5467663340400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5467663340400 is an abundant number, since it is smaller than the sum of its proper divisors (12130093993744).

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

5467663340400 is a wasteful number, since it uses less digits than its factorization.

5467663340400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21594479 (or 21594468 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 48.

The spelling of 5467663340400 in words is "five trillion, four hundred sixty-seven billion, six hundred sixty-three million, three hundred forty thousand, four hundred".