1965746640 has 480 divisors, whose sum is σ = 7447523328. Its totient is φ = 425779200.

The previous prime is 1965746633. The next prime is 1965746641. The reversal of 1965746640 is 466475691.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1965746640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1965746641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15478257 + ... + 15478383.

Almost surely, 2^1965746640 is an apocalyptic number.

1965746640 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 1965746640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723761664).

1965746640 is an abundant number, since it is smaller than the sum of its proper divisors (5481776688).

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

1965746640 is a wasteful number, since it uses less digits than its factorization.

1965746640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 1965746640 is about 44336.7414228876. The cubic root of 1965746640 is about 1252.6868371204.

The spelling of 1965746640 in words is "one billion, nine hundred sixty-five million, seven hundred forty-six thousand, six hundred forty".