7285679040000 has 400 divisors, whose sum is σ = 24271971820272. Its totient is φ = 1941417984000.

The previous prime is 7285679039987. The next prime is 7285679040007. The reversal of 7285679040000 is 409765827.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×7285679040000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7285679040007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2239678374 + ... + 2239681626.

Almost surely, 2^{7285679040000} 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 7285679040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12135985910136).

7285679040000 is an abundant number, since it is smaller than the sum of its proper divisors (16986292780272).

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

7285679040000 is an equidigital number, since it uses as much as digits as its factorization.

7285679040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5627 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 7285679040000 in words is "seven trillion, two hundred eighty-five billion, six hundred seventy-nine million, forty thousand".