1957751640 has 512 divisors, whose sum is σ = 7620480000. Its totient is φ = 442920960.

The previous prime is 1957751623. The next prime is 1957751641. The reversal of 1957751640 is 461577591.

1957751640 is a `hidden beast` number, since 1 + 95 + 7 + 7 + 516 + 40 = 666.

1957751640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (1957751641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10937071 + ... + 10937249.

It is an arithmetic number, because the mean of its divisors is an integer number (14883750).

Almost surely, 2^1957751640 is an apocalyptic number.

1957751640 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 1957751640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810240000).

1957751640 is an abundant number, since it is smaller than the sum of its proper divisors (5662728360).

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

1957751640 is a wasteful number, since it uses less digits than its factorization.

1957751640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The square root of 1957751640 is about 44246.4873182041. The cubic root of 1957751640 is about 1250.9862381961.

It can be divided in two parts, 19577 and 51640, that added together give a palindrome (71217).

The spelling of 1957751640 in words is "one billion, nine hundred fifty-seven million, seven hundred fifty-one thousand, six hundred forty".