7631052000 has 384 divisors, whose sum is σ = 29376442368. Its totient is φ = 1707264000.

The previous prime is 7631051999. The next prime is 7631052017. The reversal of 7631052000 is 2501367.

It is a super-3 number, since 3×7631052000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1713777 + ... + 1718223.

It is an arithmetic number, because the mean of its divisors is an integer number (76501152).

Almost surely, 2^7631052000 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 7631052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14688221184).

7631052000 is an abundant number, since it is smaller than the sum of its proper divisors (21745390368).

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

7631052000 is a wasteful number, since it uses less digits than its factorization.

7631052000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4499 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 7631052000 is about 87355.8927605917. The cubic root of 7631052000 is about 1968.7691900372.

Adding to 7631052000 its reverse (2501367), we get a palindrome (7633553367).

The spelling of 7631052000 in words is "seven billion, six hundred thirty-one million, fifty-two thousand".