7461637488 has 160 divisors (see below), whose sum is σ = 21923596800. Its totient is φ = 2429028864.

The previous prime is 7461637487. The next prime is 7461637493. The reversal of 7461637488 is 8847361647.

7461637488 is a `hidden beast` number, since 74 + 61 + 6 + 37 + 488 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7461637487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4255620 + ... + 4257372.

It is an arithmetic number, because the mean of its divisors is an integer number (137022480).

Almost surely, 2^7461637488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7461637488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10961798400).

7461637488 is an abundant number, since it is smaller than the sum of its proper divisors (14461959312).

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

7461637488 is a wasteful number, since it uses less digits than its factorization.

7461637488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1984 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 7461637488 is about 86380.7703600749. The cubic root of 7461637488 is about 1954.0906883384.

The spelling of 7461637488 in words is "seven billion, four hundred sixty-one million, six hundred thirty-seven thousand, four hundred eighty-eight".