7461308400 has 720 divisors, whose sum is σ = 30773280384. Its totient is φ = 1530869760.

The previous prime is 7461308333. The next prime is 7461308411. The reversal of 7461308400 is 48031647.

It is a super-2 number, since 2×7461308400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32869087 + ... + 32869313.

Almost surely, 2^7461308400 is an apocalyptic number.

7461308400 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 7461308400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15386640192).

7461308400 is an abundant number, since it is smaller than the sum of its proper divisors (23311971984).

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

7461308400 is a wasteful number, since it uses less digits than its factorization.

7461308400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 7461308400 is about 86378.8654706694. The cubic root of 7461308400 is about 1954.0619601827.

The spelling of 7461308400 in words is "seven billion, four hundred sixty-one million, three hundred eight thousand, four hundred".