7153496064 has 624 divisors, whose sum is σ = 25760367360. Its totient is φ = 1881538560.

The previous prime is 7153496023. The next prime is 7153496071. The reversal of 7153496064 is 4606943517.

7153496064 is a `hidden beast` number, since 7 + 1 + 5 + 34 + 9 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a super-3 number, since 3×7153496064³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121245667 + ... + 121245725.

It is an arithmetic number, because the mean of its divisors is an integer number (41282640).

Almost surely, 2^7153496064 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 7153496064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12880183680).

7153496064 is an abundant number, since it is smaller than the sum of its proper divisors (18606871296).

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

7153496064 is a wasteful number, since it uses less digits than its factorization.

7153496064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 7153496064 is about 84578.3427598342. The cubic root of 7153496064 is about 1926.8124663606.

The spelling of 7153496064 in words is "seven billion, one hundred fifty-three million, four hundred ninety-six thousand, sixty-four".