1962765000 has 640 divisors, whose sum is σ = 8157388800. Its totient is φ = 427680000.

The previous prime is 1962764981. The next prime is 1962765001. The reversal of 1962765000 is 5672691.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1962765001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 29294967 + ... + 29295033.

It is an arithmetic number, because the mean of its divisors is an integer number (12745920).

Almost surely, 2^1962765000 is an apocalyptic number.

1962765000 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 1962765000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078694400).

1962765000 is an abundant number, since it is smaller than the sum of its proper divisors (6194623800).

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

1962765000 is a wasteful number, since it uses less digits than its factorization.

1962765000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1962765000 is about 44303.1037287457. The cubic root of 1962765000 is about 1252.0531591170.

The spelling of 1962765000 in words is "one billion, nine hundred sixty-two million, seven hundred sixty-five thousand".