745847948160 has 1792 divisors, whose sum is σ = 3221071349760. Its totient is φ = 161529790464.

The previous prime is 745847948147. The next prime is 745847948191. The reversal of 745847948160 is 61849748547.

745847948160 is a `hidden beast` number, since 7 + 4 + 5 + 84 + 79 + 481 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 6600424264 + ... + 6600424376.

Almost surely, 2^745847948160 is an apocalyptic number.

745847948160 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 745847948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610535674880).

745847948160 is an abundant number, since it is smaller than the sum of its proper divisors (2475223401600).

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

745847948160 is a wasteful number, since it uses less digits than its factorization.

745847948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 745847948160 in words is "seven hundred forty-five billion, eight hundred forty-seven million, nine hundred forty-eight thousand, one hundred sixty".