745651526400 has 1728 divisors, whose sum is σ = 3142448870400. Its totient is φ = 173485670400.

The previous prime is 745651526393. The next prime is 745651526461. The reversal of 745651526400 is 4625156547.

745651526400 is a `hidden beast` number, since 7 + 456 + 5 + 152 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 4464979117 + ... + 4464979283.

It is an arithmetic number, because the mean of its divisors is an integer number (1818546800).

Almost surely, 2^745651526400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745651526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571224435200).

745651526400 is an abundant number, since it is smaller than the sum of its proper divisors (2396797344000).

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

745651526400 is a wasteful number, since it uses less digits than its factorization.

745651526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 745651526400 in words is "seven hundred forty-five billion, six hundred fifty-one million, five hundred twenty-six thousand, four hundred".