7126400736000 has 2592 divisors, whose sum is σ = 32860514214528. Its totient is φ = 1499561164800.

The previous prime is 7126400735929. The next prime is 7126400736019. The reversal of 7126400736000 is 6370046217.

7126400736000 is a `hidden beast` number, since 7 + 1 + 2 + 6 + 40 + 0 + 7 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×7126400736000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 19105631814 + ... + 19105632186.

Almost surely, 2^{7126400736000} is an apocalyptic number.

7126400736000 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7126400736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16430257107264).

7126400736000 is an abundant number, since it is smaller than the sum of its proper divisors (25734113478528).

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

7126400736000 is an frugal number, since it uses more digits than its factorization.

7126400736000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 7126400736000 in words is "seven trillion, one hundred twenty-six billion, four hundred million, seven hundred thirty-six thousand".