745495396800 has 1344 divisors, whose sum is σ = 3285098311680. Its totient is φ = 143253504000.

The previous prime is 745495396771. The next prime is 745495396801. The reversal of 745495396800 is 8693594547.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (745495396801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 370707795 + ... + 370709805.

Almost surely, 2^745495396800 is an apocalyptic number.

745495396800 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 745495396800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642549155840).

745495396800 is an abundant number, since it is smaller than the sum of its proper divisors (2539602914880).

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

745495396800 is a wasteful number, since it uses less digits than its factorization.

745495396800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130 (or 2115 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 60.

The spelling of 745495396800 in words is "seven hundred forty-five billion, four hundred ninety-five million, three hundred ninety-six thousand, eight hundred".