7263995506560 has 1152 divisors, whose sum is σ = 28143054444960. Its totient is φ = 1714989957120.

The previous prime is 7263995506549. The next prime is 7263995506589. The reversal of 7263995506560 is 656055993627.

7263995506560 is a `hidden beast` number, since 7 + 2 + 6 + 39 + 95 + 506 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×7263995506560³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21945605595 + ... + 21945605925.

Almost surely, 2^{7263995506560} 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 7263995506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14071527222480).

7263995506560 is an abundant number, since it is smaller than the sum of its proper divisors (20879058938400).

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

7263995506560 is a wasteful number, since it uses less digits than its factorization.

7263995506560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 91854000, while the sum is 63.

The spelling of 7263995506560 in words is "seven trillion, two hundred sixty-three billion, nine hundred ninety-five million, five hundred six thousand, five hundred sixty".