9487924992 has 486 divisors, whose sum is σ = 34437471432. Its totient is φ = 2459897856.

The previous prime is 9487924991. The next prime is 9487925039. The reversal of 9487924992 is 2994297849.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (23514624) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9487924991) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 160812259 + ... + 160812317.

Almost surely, 2^9487924992 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 9487924992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17218735716).

9487924992 is an abundant number, since it is smaller than the sum of its proper divisors (24949546440).

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

9487924992 is a wasteful number, since it uses less digits than its factorization.

9487924992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 84 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The square root of 9487924992 is about 97405.9802681540. The cubic root of 9487924992 is about 2117.0140852954.

Multiplying 9487924992 by its sum of digits (63), we get a square (597739274496 = 773136²).

9487924992 divided by its sum of digits (63) gives a square (150601984 = 12272²).

The spelling of 9487924992 in words is "nine billion, four hundred eighty-seven million, nine hundred twenty-four thousand, nine hundred ninety-two".