7461320832 has 224 divisors, whose sum is σ = 25472321280. Its totient is φ = 2131619328.

The previous prime is 7461320807. The next prime is 7461320833. The reversal of 7461320832 is 2380231647.

It is a happy number.

7461320832 is a `hidden beast` number, since 7 + 4 + 613 + 2 + 0 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 (7461320833) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 647473 + ... + 658895.

It is an arithmetic number, because the mean of its divisors is an integer number (113715720).

Almost surely, 2^7461320832 is an apocalyptic number.

7461320832 is a gapful number since it is divisible by the number (72) 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 7461320832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12736160640).

7461320832 is an abundant number, since it is smaller than the sum of its proper divisors (18011000448).

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

7461320832 is an equidigital number, since it uses as much as digits as its factorization.

7461320832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11462 (or 11435 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 7461320832 is about 86378.9374326867. The cubic root of 7461320832 is about 1954.0630454653.

The spelling of 7461320832 in words is "seven billion, four hundred sixty-one million, three hundred twenty thousand, eight hundred thirty-two".