73253897640 has 512 divisors, whose sum is σ = 308128665600. Its totient is φ = 15036779520.

The previous prime is 73253897623. The next prime is 73253897641. The reversal of 73253897640 is 4679835237.

73253897640 is a `hidden beast` number, since 7 + 32 + 538 + 9 + 76 + 4 + 0 = 666.

It is a super-2 number, since 2×73253897640² (a number of 23 digits) contains 22 as substring.

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 (73253897641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6896974 + ... + 6907586.

It is an arithmetic number, because the mean of its divisors is an integer number (601813800).

Almost surely, 2^73253897640 is an apocalyptic number.

73253897640 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 73253897640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154064332800).

73253897640 is an abundant number, since it is smaller than the sum of its proper divisors (234874767960).

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

73253897640 is a wasteful number, since it uses less digits than its factorization.

73253897640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10734 (or 10724 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 73253897640 in words is "seventy-three billion, two hundred fifty-three million, eight hundred ninety-seven thousand, six hundred forty".