7263083942400 has 960 divisors, whose sum is σ = 29097713627136. Its totient is φ = 1572839424000.

The previous prime is 7263083942381. The next prime is 7263083942447. The reversal of 7263083942400 is 42493803627.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a self number, because there is not a number n which added to its sum of digits gives 7263083942400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170205867 + ... + 170248533.

Almost surely, 2^{7263083942400} 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 7263083942400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14548856813568).

7263083942400 is an abundant number, since it is smaller than the sum of its proper divisors (21834629684736).

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

7263083942400 is a wasteful number, since it uses less digits than its factorization.

7263083942400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42753 (or 42732 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 7263083942400 in words is "seven trillion, two hundred sixty-three billion, eighty-three million, nine hundred forty-two thousand, four hundred".