1953724968 has 64 divisors (see below), whose sum is σ = 5844484800. Its totient is φ = 601145280.

The previous prime is 1953724967. The next prime is 1953725021. The reversal of 1953724968 is 8694273591.

1953724968 is a `hidden beast` number, since 1 + 9 + 537 + 2 + 49 + 68 = 666.

1953724968 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1953724967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 345078 + ... + 350693.

It is an arithmetic number, because the mean of its divisors is an integer number (91320075).

Almost surely, 2^1953724968 is an apocalyptic number.

1953724968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1953724968 is an abundant number, since it is smaller than the sum of its proper divisors (3890759832).

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

1953724968 is a wasteful number, since it uses less digits than its factorization.

1953724968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695799 (or 695789 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 1953724968 is about 44200.9611660199. The cubic root of 1953724968 is about 1250.1279800698.

The spelling of 1953724968 in words is "one billion, nine hundred fifty-three million, seven hundred twenty-four thousand, nine hundred sixty-eight".