7461735960 has 512 divisors, whose sum is σ = 28101427200. Its totient is φ = 1548288000.

The previous prime is 7461735947. The next prime is 7461735973. The reversal of 7461735960 is 695371647.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (7461735947) and next prime (7461735973).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30961440 + ... + 30961680.

It is an arithmetic number, because the mean of its divisors is an integer number (54885600).

Almost surely, 2^7461735960 is an apocalyptic number.

7461735960 is a gapful number since it is divisible by the number (70) 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 7461735960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14050713600).

7461735960 is an abundant number, since it is smaller than the sum of its proper divisors (20639691240).

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

7461735960 is a wasteful number, since it uses less digits than its factorization.

7461735960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 7461735960 is about 86381.3403461650. The cubic root of 7461735960 is about 1954.0992844128.

The spelling of 7461735960 in words is "seven billion, four hundred sixty-one million, seven hundred thirty-five thousand, nine hundred sixty".