1900768640 has 64 divisors (see below), whose sum is σ = 4811348160. Its totient is φ = 715579392.

The previous prime is 1900768637. The next prime is 1900768643. The reversal of 1900768640 is 468670091.

It is an interprime number because it is at equal distance from previous prime (1900768637) and next prime (1900768643).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1900768640² = 7225842845614899200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1900768643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76472 + ... + 98231.

It is an arithmetic number, because the mean of its divisors is an integer number (75177315).

Almost surely, 2^1900768640 is an apocalyptic number.

1900768640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1900768640 is an abundant number, since it is smaller than the sum of its proper divisors (2910579520).

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

1900768640 is a wasteful number, since it uses less digits than its factorization.

1900768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174739 (or 174727 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 1900768640 is about 43597.8054493572. The cubic root of 1900768640 is about 1238.7293261566.

The spelling of 1900768640 in words is "one billion, nine hundred million, seven hundred sixty-eight thousand, six hundred forty".