7106451408 has 240 divisors, whose sum is σ = 24334442496. Its totient is φ = 1964684160.

The previous prime is 7106451397. The next prime is 7106451409. The reversal of 7106451408 is 8041546017.

It is a happy number.

7106451408 is a `hidden beast` number, since 7 + 1 + 0 + 645 + 1 + 4 + 0 + 8 = 666.

It is a super-2 number, since 2×7106451408² (a number of 21 digits) contains 22 as substring.

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 (7106451409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 839485 + ... + 847907.

Almost surely, 2^7106451408 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 7106451408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12167221248).

7106451408 is an abundant number, since it is smaller than the sum of its proper divisors (17227991088).

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

7106451408 is a wasteful number, since it uses less digits than its factorization.

7106451408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8484 (or 8466 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 7106451408 is about 84299.7711028921. The cubic root of 7106451408 is about 1922.5793068734.

The spelling of 7106451408 in words is "seven billion, one hundred six million, four hundred fifty-one thousand, four hundred eight".