1975613640 has 256 divisors, whose sum is σ = 7958200320. Its totient is φ = 378915840.

The previous prime is 1975613621. The next prime is 1975613641. The reversal of 1975613640 is 463165791.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1975613592 and 1975613601.

It is not an unprimeable number, because it can be changed into a prime (1975613641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111897 + ... + 128343.

It is an arithmetic number, because the mean of its divisors is an integer number (31086720).

Almost surely, 2^1975613640 is an apocalyptic number.

1975613640 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 1975613640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979100160).

1975613640 is an abundant number, since it is smaller than the sum of its proper divisors (5982586680).

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

1975613640 is a wasteful number, since it uses less digits than its factorization.

1975613640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16492 (or 16488 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 1975613640 is about 44447.8755397826. The cubic root of 1975613640 is about 1254.7792800305.

The spelling of 1975613640 in words is "one billion, nine hundred seventy-five million, six hundred thirteen thousand, six hundred forty".