7471472400 has 720 divisors, whose sum is σ = 31342438400. Its totient is φ = 1674017280.

The previous prime is 7471472383. The next prime is 7471472417. The reversal of 7471472400 is 42741747.

It is an interprime number because it is at equal distance from previous prime (7471472383) and next prime (7471472417).

It is a tau number, because it is divible by the number of its divisors (720).

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 143 ways as a sum of consecutive naturals, for example, 53751531 + ... + 53751669.

Almost surely, 2^7471472400 is an apocalyptic number.

7471472400 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 7471472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15671219200).

7471472400 is an abundant number, since it is smaller than the sum of its proper divisors (23870966000).

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

7471472400 is a wasteful number, since it uses less digits than its factorization.

7471472400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The square root of 7471472400 is about 86437.6792839789. The cubic root of 7471472400 is about 1954.9488499469.

The spelling of 7471472400 in words is "seven billion, four hundred seventy-one million, four hundred seventy-two thousand, four hundred".