7745472000 has 960 divisors, whose sum is σ = 34057355904. Its totient is φ = 1651507200.

The previous prime is 7745471963. The next prime is 7745472001. The reversal of 7745472000 is 2745477.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7745472001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68543944 + ... + 68544056.

Almost surely, 2^7745472000 is an apocalyptic number.

7745472000 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 7745472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17028677952).

7745472000 is an abundant number, since it is smaller than the sum of its proper divisors (26311883904).

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

7745472000 is a wasteful number, since it uses less digits than its factorization.

7745472000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 7745472000 is about 88008.3632389559. The cubic root of 7745472000 is about 1978.5603247419.

The spelling of 7745472000 in words is "seven billion, seven hundred forty-five million, four hundred seventy-two thousand".