7906454304 has 192 divisors, whose sum is σ = 24380891136. Its totient is φ = 2196624384.

The previous prime is 7906454279. The next prime is 7906454317. The reversal of 7906454304 is 4034546097.

It is a super-2 number, since 2×7906454304² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5463309 + ... + 5464755.

It is an arithmetic number, because the mean of its divisors is an integer number (126983808).

Almost surely, 2^7906454304 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 7906454304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12190445568).

7906454304 is an abundant number, since it is smaller than the sum of its proper divisors (16474436832).

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

7906454304 is a wasteful number, since it uses less digits than its factorization.

7906454304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 7906454304 is about 88918.2450569061. The cubic root of 7906454304 is about 1992.1739416826.

The spelling of 7906454304 in words is "seven billion, nine hundred six million, four hundred fifty-four thousand, three hundred four".