73863354240 has 768 divisors, whose sum is σ = 291714696000. Its totient is φ = 17071865856.

The previous prime is 73863354217. The next prime is 73863354277. The reversal of 73863354240 is 4245336837.

73863354240 is a `hidden beast` number, since 7 + 3 + 8 + 63 + 3 + 542 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 274584826 + ... + 274585094.

Almost surely, 2^73863354240 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 73863354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145857348000).

73863354240 is an abundant number, since it is smaller than the sum of its proper divisors (217851341760).

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

73863354240 is a wasteful number, since it uses less digits than its factorization.

73863354240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 73863354240 in words is "seventy-three billion, eight hundred sixty-three million, three hundred fifty-four thousand, two hundred forty".