7401461760 has 864 divisors, whose sum is σ = 32771466000. Its totient is φ = 1527644160.

The previous prime is 7401461747. The next prime is 7401461773. The reversal of 7401461760 is 671641047.

It is an interprime number because it is at equal distance from previous prime (7401461747) and next prime (7401461773).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49674166 + ... + 49674314.

Almost surely, 2^7401461760 is an apocalyptic number.

7401461760 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 7401461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16385733000).

7401461760 is an abundant number, since it is smaller than the sum of its proper divisors (25370004240).

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

7401461760 is a wasteful number, since it uses less digits than its factorization.

7401461760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 7401461760 is about 86031.7485583084. The cubic root of 7401461760 is about 1948.8234638475.

The spelling of 7401461760 in words is "seven billion, four hundred one million, four hundred sixty-one thousand, seven hundred sixty".