7463493000 has 192 divisors, whose sum is σ = 26711071920. Its totient is φ = 1873152000.

The previous prime is 7463492989. The next prime is 7463493001. The reversal of 7463493000 is 3943647.

7463493000 is a `hidden beast` number, since 7 + 4 + 6 + 349 + 300 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5788836 + 7457704164 = 2406^2 + 86358^2 .

It is a super-2 number, since 2×7463493000² (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 not an unprimeable number, because it can be changed into a prime (7463493001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128610 + ... + 177390.

Almost surely, 2^7463493000 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 7463493000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13355535960).

7463493000 is an abundant number, since it is smaller than the sum of its proper divisors (19247578920).

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

7463493000 is a wasteful number, since it uses less digits than its factorization.

7463493000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48825 (or 48808 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 7463493000 is about 86391.5099995364. The cubic root of 7463493000 is about 1954.2526518135.

The spelling of 7463493000 in words is "seven billion, four hundred sixty-three million, four hundred ninety-three thousand".