7487121600 has 882 divisors, whose sum is σ = 32376832884. Its totient is φ = 1698278400.

The previous prime is 7487121599. The next prime is 7487121611. The reversal of 7487121600 is 61217847.

7487121600 is a `hidden beast` number, since 7 + 48 + 7 + 1 + 2 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (882).

It is a super-4 number, since 4×7487121600⁴ (a number of 41 digits) contains 4444 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 57153535 + ... + 57153665.

Almost surely, 2^7487121600 is an apocalyptic number.

7487121600 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 7487121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16188416442).

7487121600 is an abundant number, since it is smaller than the sum of its proper divisors (24889711284).

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

7487121600 is a wasteful number, since it uses less digits than its factorization.

7487121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 7487121600 is about 86528.1549554826. The cubic root of 7487121600 is about 1956.3127957740.

The spelling of 7487121600 in words is "seven billion, four hundred eighty-seven million, one hundred twenty-one thousand, six hundred".