73402520760 has 320 divisors, whose sum is σ = 250644240000. Its totient is φ = 19264137984.

The previous prime is 73402520753. The next prime is 73402520839. The reversal of 73402520760 is 6702520437.

It is a happy number.

73402520760 is a `hidden beast` number, since 7 + 340 + 252 + 0 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 134190807 + ... + 134191353.

It is an arithmetic number, because the mean of its divisors is an integer number (783263250).

Almost surely, 2^73402520760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73402520760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125322120000).

73402520760 is an abundant number, since it is smaller than the sum of its proper divisors (177241719240).

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

73402520760 is a wasteful number, since it uses less digits than its factorization.

73402520760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

It can be divided in two parts, 7340 and 2520760, that added together give a square (2528100 = 1590²).

The spelling of 73402520760 in words is "seventy-three billion, four hundred two million, five hundred twenty thousand, seven hundred sixty".