745378292736 has 792 divisors, whose sum is σ = 2775230108352. Its totient is φ = 187188019200.

The previous prime is 745378292689. The next prime is 745378292741. The reversal of 745378292736 is 637292873547.

745378292736 is a `hidden beast` number, since 7 + 4 + 537 + 8 + 2 + 92 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×745378292736² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 681955806 + ... + 681956898.

Almost surely, 2^745378292736 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 745378292736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387615054176).

745378292736 is an abundant number, since it is smaller than the sum of its proper divisors (2029851815616).

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

745378292736 is a wasteful number, since it uses less digits than its factorization.

745378292736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199 (or 1147 counting only the distinct ones).

The product of its digits is 106686720, while the sum is 63.

The spelling of 745378292736 in words is "seven hundred forty-five billion, three hundred seventy-eight million, two hundred ninety-two thousand, seven hundred thirty-six".