73495477440 has 1120 divisors, whose sum is σ = 329871628800. Its totient is φ = 15087790080.

The previous prime is 73495477387. The next prime is 73495477441. The reversal of 73495477440 is 4477459437.

It is a happy number.

73495477440 is a `hidden beast` number, since 7 + 3 + 495 + 47 + 74 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-3 number, since 3×73495477440³ (a number of 34 digits) contains 333 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 (73495477441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 885487639 + ... + 885487721.

It is an arithmetic number, because the mean of its divisors is an integer number (294528240).

Almost surely, 2^73495477440 is an apocalyptic number.

73495477440 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 73495477440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164935814400).

73495477440 is an abundant number, since it is smaller than the sum of its proper divisors (256376151360).

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

73495477440 is an equidigital number, since it uses as much as digits as its factorization.

73495477440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 73495477440 in words is "seventy-three billion, four hundred ninety-five million, four hundred seventy-seven thousand, four hundred forty".