863772215040 has 1152 divisors, whose sum is σ = 3645057024000. Its totient is φ = 189536993280.

The previous prime is 863772215029. The next prime is 863772215063. The reversal of 863772215040 is 40512277368.

863772215040 is a `hidden beast` number, since 8 + 6 + 377 + 221 + 50 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-3 number, since 3×863772215040³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 127 ways as a sum of consecutive naturals, for example, 1117428094 + ... + 1117428866.

It is an arithmetic number, because the mean of its divisors is an integer number (3164112000).

Almost surely, 2^863772215040 is an apocalyptic number.

863772215040 is a gapful number since it is divisible by the number (80) 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 863772215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822528512000).

863772215040 is an abundant number, since it is smaller than the sum of its proper divisors (2781284808960).

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

863772215040 is a wasteful number, since it uses less digits than its factorization.

863772215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 863772215040 in words is "eight hundred sixty-three billion, seven hundred seventy-two million, two hundred fifteen thousand, forty".