73989780480 has 1320 divisors, whose sum is σ = 337480472736. Its totient is φ = 15328051200.

The previous prime is 73989780479. The next prime is 73989780509. The reversal of 73989780480 is 8408798937.

73989780480 is a `hidden beast` number, since 7 + 3 + 9 + 89 + 78 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1320).

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 119 ways as a sum of consecutive naturals, for example, 223533915 + ... + 223534245.

Almost surely, 2^73989780480 is an apocalyptic number.

73989780480 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 73989780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168740236368).

73989780480 is an abundant number, since it is smaller than the sum of its proper divisors (263490692256).

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

73989780480 is a wasteful number, since it uses less digits than its factorization.

73989780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 73989780480 in words is "seventy-three billion, nine hundred eighty-nine million, seven hundred eighty thousand, four hundred eighty".