7461199872 has 448 divisors, whose sum is σ = 26003097600. Its totient is φ = 2070282240.

The previous prime is 7461199859. The next prime is 7461199891. The reversal of 7461199872 is 2789911647.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×7461199872³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94445529 + ... + 94445607.

Almost surely, 2^7461199872 is an apocalyptic number.

7461199872 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 7461199872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13001548800).

7461199872 is an abundant number, since it is smaller than the sum of its proper divisors (18541897728).

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

7461199872 is an equidigital number, since it uses as much as digits as its factorization.

7461199872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 152 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The square root of 7461199872 is about 86378.2372591615. The cubic root of 7461199872 is about 1954.0524859077.

The spelling of 7461199872 in words is "seven billion, four hundred sixty-one million, one hundred ninety-nine thousand, eight hundred seventy-two".