7464151296 has 432 divisors, whose sum is σ = 26016751488. Its totient is φ = 2090188800.

The previous prime is 7464151249. The next prime is 7464151307. The reversal of 7464151296 is 6921514647.

7464151296 is a `hidden beast` number, since 7 + 4 + 6 + 41 + 512 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26562676 + ... + 26562956.

Almost surely, 2^7464151296 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 7464151296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13008375744).

7464151296 is an abundant number, since it is smaller than the sum of its proper divisors (18552600192).

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

7464151296 is an equidigital number, since it uses as much as digits as its factorization.

7464151296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 354 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 7464151296 is about 86395.3198732431. The cubic root of 7464151296 is about 1954.3101065416.

The spelling of 7464151296 in words is "seven billion, four hundred sixty-four million, one hundred fifty-one thousand, two hundred ninety-six".