7632500400 has 600 divisors, whose sum is σ = 31803318624. Its totient is φ = 1716940800.

The previous prime is 7632500383. The next prime is 7632500423. The reversal of 7632500400 is 40052367.

It is a happy number.

7632500400 is a `hidden beast` number, since 7 + 6 + 3 + 250 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a super-3 number, since 3×7632500400³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 16556170 + ... + 16556630.

Almost surely, 2^7632500400 is an apocalyptic number.

7632500400 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 7632500400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15901659312).

7632500400 is an abundant number, since it is smaller than the sum of its proper divisors (24170818224).

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

7632500400 is a wasteful number, since it uses less digits than its factorization.

7632500400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 7632500400 is about 87364.1825921813. The cubic root of 7632500400 is about 1968.8937418859.

Adding to 7632500400 its reverse (40052367), we get a palindrome (7672552767).

The spelling of 7632500400 in words is "seven billion, six hundred thirty-two million, five hundred thousand, four hundred".