2007137664 has 256 divisors, whose sum is σ = 6825024000. Its totient is φ = 568829952.

The previous prime is 2007137653. The next prime is 2007137683. The reversal of 2007137664 is 4667317002.

2007137664 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 3943042 + ... + 3943550.

It is an arithmetic number, because the mean of its divisors is an integer number (26660250).

Almost surely, 2^2007137664 is an apocalyptic number.

2007137664 is a gapful number since it is divisible by the number (24) 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 2007137664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3412512000).

2007137664 is an abundant number, since it is smaller than the sum of its proper divisors (4817886336).

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

2007137664 is a wasteful number, since it uses less digits than its factorization.

2007137664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 2007137664 is about 44801.0899867403. The cubic root of 2007137664 is about 1261.4180859348.

The spelling of 2007137664 in words is "two billion, seven million, one hundred thirty-seven thousand, six hundred sixty-four".