1973526464 has 224 divisors, whose sum is σ = 5276307456. Its totient is φ = 710000640.

The previous prime is 1973526449. The next prime is 1973526479. The reversal of 1973526464 is 4646253791.

It is an interprime number because it is at equal distance from previous prime (1973526449) and next prime (1973526479).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3068927 + ... + 3069569.

It is an arithmetic number, because the mean of its divisors is an integer number (23554944).

Almost surely, 2^1973526464 is an apocalyptic number.

1973526464 is a gapful number since it is divisible by the number (14) 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 1973526464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638153728).

1973526464 is an abundant number, since it is smaller than the sum of its proper divisors (3302780992).

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

1973526464 is a wasteful number, since it uses less digits than its factorization.

1973526464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 713 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 47.

The square root of 1973526464 is about 44424.3904178774. The cubic root of 1973526464 is about 1254.3372455547.

The spelling of 1973526464 in words is "one billion, nine hundred seventy-three million, five hundred twenty-six thousand, four hundred sixty-four".