745677122400 has 720 divisors, whose sum is σ = 3114340669440. Its totient is φ = 170082892800.

The previous prime is 745677122387. The next prime is 745677122461. The reversal of 745677122400 is 4221776547.

745677122400 is a `hidden beast` number, since 7 + 4 + 56 + 77 + 122 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 259004161 + ... + 259007039.

It is an arithmetic number, because the mean of its divisors is an integer number (4325473152).

Almost surely, 2^745677122400 is an apocalyptic number.

745677122400 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 745677122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557170334720).

745677122400 is an abundant number, since it is smaller than the sum of its proper divisors (2368663547040).

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

745677122400 is a wasteful number, since it uses less digits than its factorization.

745677122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3489 (or 3467 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

Adding to 745677122400 its reverse (4221776547), we get a palindrome (749898898947).

The spelling of 745677122400 in words is "seven hundred forty-five billion, six hundred seventy-seven million, one hundred twenty-two thousand, four hundred".