5464170806400 has 576 divisors, whose sum is σ = 20352797337600. Its totient is φ = 1394244403200.

The previous prime is 5464170806383. The next prime is 5464170806461. The reversal of 5464170806400 is 46080714645.

5464170806400 is a `hidden beast` number, since 5 + 464 + 1 + 70 + 80 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 79424817 + ... + 79493583.

It is an arithmetic number, because the mean of its divisors is an integer number (35334717600).

Almost surely, 2^{5464170806400} is an apocalyptic number.

5464170806400 is a gapful number since it is divisible by the number (50) 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 5464170806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10176398668800).

5464170806400 is an abundant number, since it is smaller than the sum of its proper divisors (14888626531200).

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

5464170806400 is a wasteful number, since it uses less digits than its factorization.

5464170806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68917 (or 68897 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 5464170806400 in words is "five trillion, four hundred sixty-four billion, one hundred seventy million, eight hundred six thousand, four hundred".