7461330100 has 72 divisors (see below), whose sum is σ = 18528064128. Its totient is φ = 2554857600.

The previous prime is 7461330061. The next prime is 7461330131. The reversal of 7461330100 is 10331647.

It is a super-2 number, since 2×7461330100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568209 + ... + 581191.

It is an arithmetic number, because the mean of its divisors is an integer number (257334224).

Almost surely, 2^7461330100 is an apocalyptic number.

7461330100 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 7461330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9264032064).

7461330100 is an abundant number, since it is smaller than the sum of its proper divisors (11066734028).

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

7461330100 is a wasteful number, since it uses less digits than its factorization.

7461330100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13825 (or 13818 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 7461330100 is about 86378.9910800074. The cubic root of 7461330100 is about 1954.0638545379.

Adding to 7461330100 its reverse (10331647), we get a palindrome (7471661747).

It can be divided in two parts, 7461 and 330100, that added together give a square (337561 = 581²).

The spelling of 7461330100 in words is "seven billion, four hundred sixty-one million, three hundred thirty thousand, one hundred".