1950745680 has 560 divisors, whose sum is σ = 7650510336. Its totient is φ = 459095040.

The previous prime is 1950745673. The next prime is 1950745681. The reversal of 1950745680 is 865470591.

1950745680 is a `hidden beast` number, since 19 + 5 + 0 + 74 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1950745681) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 23502919 + ... + 23503001.

Almost surely, 2^1950745680 is an apocalyptic number.

1950745680 is a gapful number since it is divisible by the number (10) 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 1950745680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3825255168).

1950745680 is an abundant number, since it is smaller than the sum of its proper divisors (5699764656).

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

1950745680 is a wasteful number, since it uses less digits than its factorization.

1950745680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 1950745680 is about 44167.2466880153. The cubic root of 1950745680 is about 1249.4922054770.

The spelling of 1950745680 in words is "one billion, nine hundred fifty million, seven hundred forty-five thousand, six hundred eighty".