74996953920 has 630 divisors, whose sum is σ = 311615191602. Its totient is φ = 17142160896.

The previous prime is 74996953897. The next prime is 74996953931. The reversal of 74996953920 is 2935969947.

74996953920 is a `hidden beast` number, since 7 + 4 + 9 + 96 + 9 + 539 + 2 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 59997563136 + 14999390784 = 244944^2 + 122472^2 .

It is a tau number, because it is divible by the number of its divisors (630).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 10713850557 + ... + 10713850563.

Almost surely, 2^74996953920 is an apocalyptic number.

74996953920 is a gapful number since it is divisible by the number (70) 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 74996953920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155807595801).

74996953920 is an abundant number, since it is smaller than the sum of its proper divisors (236618237682).

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

74996953920 is an frugal number, since it uses more digits than its factorization.

74996953920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 33067440, while the sum is 63.

The spelling of 74996953920 in words is "seventy-four billion, nine hundred ninety-six million, nine hundred fifty-three thousand, nine hundred twenty".