7495468992 has 504 divisors, whose sum is σ = 25815432240. Its totient is φ = 2059223040.

The previous prime is 7495468987. The next prime is 7495468999. The reversal of 7495468992 is 2998645947.

7495468992 is a `hidden beast` number, since 7 + 4 + 9 + 546 + 89 + 9 + 2 = 666.

It is a super-3 number, since 3×7495468992³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7495468999) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66331528 + ... + 66331640.

Almost surely, 2^7495468992 is an apocalyptic number.

7495468992 is a gapful number since it is divisible by the number (72) 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 7495468992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12907716120).

7495468992 is an abundant number, since it is smaller than the sum of its proper divisors (18319963248).

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

7495468992 is a wasteful number, since it uses less digits than its factorization.

7495468992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 177 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The square root of 7495468992 is about 86576.3766393582. The cubic root of 7495468992 is about 1957.0395568088.

The spelling of 7495468992 in words is "seven billion, four hundred ninety-five million, four hundred sixty-eight thousand, nine hundred ninety-two".