7942536000 has 1120 divisors, whose sum is σ = 35901245952. Its totient is φ = 1692057600.

The previous prime is 7942535989. The next prime is 7942536029. The reversal of 7942536000 is 6352497.

7942536000 is a `hidden beast` number, since 7 + 9 + 42 + 5 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×7942536000² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 77111949 + ... + 77112051.

Almost surely, 2^7942536000 is an apocalyptic number.

7942536000 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 7942536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17950622976).

7942536000 is an abundant number, since it is smaller than the sum of its proper divisors (27958709952).

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

7942536000 is a wasteful number, since it uses less digits than its factorization.

7942536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 7942536000 is about 89120.9066381172. The cubic root of 7942536000 is about 1995.1998216945.

Adding to 7942536000 its reverse (6352497), we get a palindrome (7948888497).

The spelling of 7942536000 in words is "seven billion, nine hundred forty-two million, five hundred thirty-six thousand".