7137835464 has 128 divisors (see below), whose sum is σ = 18727920000. Its totient is φ = 2264868864.

The previous prime is 7137835447. The next prime is 7137835489. The reversal of 7137835464 is 4645387317.

It is a super-2 number, since 2×7137835464² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9658407 + ... + 9659145.

It is an arithmetic number, because the mean of its divisors is an integer number (146311875).

Almost surely, 2^7137835464 is an apocalyptic number.

7137835464 is a gapful number since it is divisible by the number (74) 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 7137835464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9363960000).

7137835464 is an abundant number, since it is smaller than the sum of its proper divisors (11590084536).

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

7137835464 is a wasteful number, since it uses less digits than its factorization.

7137835464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 1003 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The square root of 7137835464 is about 84485.7115966954. The cubic root of 7137835464 is about 1925.4053648154.

The spelling of 7137835464 in words is "seven billion, one hundred thirty-seven million, eight hundred thirty-five thousand, four hundred sixty-four".