7126456400 has 60 divisors (see below), whose sum is σ = 19567220832. Its totient is φ = 2443355520.

The previous prime is 7126456397. The next prime is 7126456409. The reversal of 7126456400 is 46546217.

It is a super-2 number, since 2×7126456400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7126456409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1269782 + ... + 1275381.

Almost surely, 2^7126456400 is an apocalyptic number.

7126456400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7126456400 is an abundant number, since it is smaller than the sum of its proper divisors (12440764432).

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

7126456400 is a wasteful number, since it uses less digits than its factorization.

7126456400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545188 (or 2545177 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 7126456400 is about 84418.3416089181. The cubic root of 7126456400 is about 1924.3816668125.

The spelling of 7126456400 in words is "seven billion, one hundred twenty-six million, four hundred fifty-six thousand, four hundred".