1936772640 has 384 divisors, whose sum is σ = 7544275200. Its totient is φ = 460062720.

The previous prime is 1936772603. The next prime is 1936772671. The reversal of 1936772640 is 462776391.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2518176 + ... + 2518944.

It is an arithmetic number, because the mean of its divisors is an integer number (19646550).

Almost surely, 2^1936772640 is an apocalyptic number.

1936772640 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 1936772640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772137600).

1936772640 is an abundant number, since it is smaller than the sum of its proper divisors (5607502560).

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

1936772640 is a wasteful number, since it uses less digits than its factorization.

1936772640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 1936772640 is about 44008.7791241702. The cubic root of 1936772640 is about 1246.5017152697.

The spelling of 1936772640 in words is "one billion, nine hundred thirty-six million, seven hundred seventy-two thousand, six hundred forty".