745425287006400 has 8064 divisors, whose sum is σ = 3834477244416000. Its totient is φ = 136021126348800.

The previous prime is 745425287006269. The next prime is 745425287006401. The reversal of 745425287006400 is 4600782524547.

745425287006400 is a `hidden beast` number, since 7 + 4 + 5 + 4 + 2 + 528 + 70 + 0 + 6 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (745425287006401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 3745855713501 + ... + 3745855713699.

Almost surely, 2^{745425287006400} is an apocalyptic number.

745425287006400 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 745425287006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1917238622208000).

745425287006400 is an abundant number, since it is smaller than the sum of its proper divisors (3089051957409600).

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

745425287006400 is a wasteful number, since it uses less digits than its factorization.

745425287006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 745425287006400 in words is "seven hundred forty-five trillion, four hundred twenty-five billion, two hundred eighty-seven million, six thousand, four hundred".