73962749952 has 648 divisors, whose sum is σ = 269411701104. Its totient is φ = 19138609152.

The previous prime is 73962749923. The next prime is 73962749977. The reversal of 73962749952 is 25994726937.

73962749952 is a `hidden beast` number, since 7 + 3 + 96 + 2 + 7 + 499 + 52 = 666.

It is a Smith number, since the sum of its digits (63) 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 (63).

Its product of digits (51438240) is a multiple of the sum of its prime factors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 73962749952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1395523558 + ... + 1395523610.

It is an arithmetic number, because the mean of its divisors is an integer number (415758798).

Almost surely, 2^73962749952 is an apocalyptic number.

73962749952 is a gapful number since it is divisible by the number (72) 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 73962749952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134705850552).

73962749952 is an abundant number, since it is smaller than the sum of its proper divisors (195448951152).

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

73962749952 is an equidigital number, since it uses as much as digits as its factorization.

73962749952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 78 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 63.

The spelling of 73962749952 in words is "seventy-three billion, nine hundred sixty-two million, seven hundred forty-nine thousand, nine hundred fifty-two".