7463498328 has 192 divisors, whose sum is σ = 24491548800. Its totient is φ = 2087579520.

The previous prime is 7463498311. The next prime is 7463498359. The reversal of 7463498328 is 8238943647.

7463498328 is a `hidden beast` number, since 74 + 63 + 498 + 3 + 28 = 666.

It is a super-3 number, since 3×7463498328³ (a number of 31 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 392251 + ... + 410837.

It is an arithmetic number, because the mean of its divisors is an integer number (127560150).

Almost surely, 2^7463498328 is an apocalyptic number.

7463498328 is a gapful number since it is divisible by the number (78) 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 7463498328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12245774400).

7463498328 is an abundant number, since it is smaller than the sum of its proper divisors (17028050472).

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

7463498328 is a wasteful number, since it uses less digits than its factorization.

7463498328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18639 (or 18616 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 7463498328 is about 86391.5408358943. The cubic root of 7463498328 is about 1954.2531168440.

The spelling of 7463498328 in words is "seven billion, four hundred sixty-three million, four hundred ninety-eight thousand, three hundred twenty-eight".