7464828672 has 576 divisors, whose sum is σ = 26702161920. Its totient is φ = 2012774400.

The previous prime is 7464828667. The next prime is 7464828689. The reversal of 7464828672 is 2768284647.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105138397 + ... + 105138467.

It is an arithmetic number, because the mean of its divisors is an integer number (46357920).

Almost surely, 2^7464828672 is an apocalyptic number.

7464828672 is a gapful number since it is divisible by the number (72) 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 7464828672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13351080960).

7464828672 is an abundant number, since it is smaller than the sum of its proper divisors (19237333248).

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

7464828672 is a wasteful number, since it uses less digits than its factorization.

7464828672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 177 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 7464828672 is about 86399.2399966574. The cubic root of 7464828672 is about 1954.3692230067.

The spelling of 7464828672 in words is "seven billion, four hundred sixty-four million, eight hundred twenty-eight thousand, six hundred seventy-two".