745476286464000 has 7680 divisors, whose sum is σ = 3605407639142400. Its totient is φ = 149633630208000.

The previous prime is 745476286463977. The next prime is 745476286464029. The reversal of 745476286464000 is 464682674547.

745476286464000 is a `hidden beast` number, since 7 + 4 + 5 + 476 + 2 + 86 + 46 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 12635191295971 + ... + 12635191296029.

It is an arithmetic number, because the mean of its divisors is an integer number (469454119680).

Almost surely, 2^{745476286464000} is an apocalyptic number.

745476286464000 is a gapful number since it is divisible by the number (70) 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 745476286464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802703819571200).

745476286464000 is an abundant number, since it is smaller than the sum of its proper divisors (2859931352678400).

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

745476286464000 is an frugal number, since it uses more digits than its factorization.

745476286464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 63.

The spelling of 745476286464000 in words is "seven hundred forty-five trillion, four hundred seventy-six billion, two hundred eighty-six million, four hundred sixty-four thousand".