7453400976 has 440 divisors, whose sum is σ = 26359324800. Its totient is φ = 2036954304.

The previous prime is 7453400963. The next prime is 7453400993. The reversal of 7453400976 is 6790043547.

It is a super-2 number, since 2×7453400976² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 324060901 + ... + 324060923.

Almost surely, 2^7453400976 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 7453400976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13179662400).

7453400976 is an abundant number, since it is smaller than the sum of its proper divisors (18905923824).

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

7453400976 is an frugal number, since it uses more digits than its factorization.

7453400976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 7453400976 is about 86333.0815852185. The cubic root of 7453400976 is about 1953.3714173934.

The spelling of 7453400976 in words is "seven billion, four hundred fifty-three million, four hundred thousand, nine hundred seventy-six".