7465116672 has 198 divisors, whose sum is σ = 23345883522. Its totient is φ = 2296479744.

The previous prime is 7465116661. The next prime is 7465116679. The reversal of 7465116672 is 2766115647.

7465116672 is a `hidden beast` number, since 7 + 4 + 6 + 511 + 66 + 72 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 312016896 + 7153099776 = 17664^2 + 84576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7465116679) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1555108 + ... + 1559900.

Almost surely, 2^7465116672 is an apocalyptic number.

7465116672 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 7465116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11672941761).

7465116672 is an abundant number, since it is smaller than the sum of its proper divisors (15880766850).

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

7465116672 is a wasteful number, since it uses less digits than its factorization.

7465116672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4845 (or 4811 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 7465116672 is about 86400.9066619095. The cubic root of 7465116672 is about 1954.3943564748.

The spelling of 7465116672 in words is "seven billion, four hundred sixty-five million, one hundred sixteen thousand, six hundred seventy-two".