862791764640 has 384 divisors, whose sum is σ = 3031564112640. Its totient is φ = 204799967232.

The previous prime is 862791764621. The next prime is 862791764641. The reversal of 862791764640 is 46467197268.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (862791764641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 172452379 + ... + 172457381.

It is an arithmetic number, because the mean of its divisors is an integer number (7894698210).

Almost surely, 2^862791764640 is an apocalyptic number.

862791764640 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 862791764640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515782056320).

862791764640 is an abundant number, since it is smaller than the sum of its proper divisors (2168772348000).

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

862791764640 is a wasteful number, since it uses less digits than its factorization.

862791764640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6016 (or 6008 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 60.

It can be divided in two parts, 86279176 and 4640, that added together give a triangular number (86283816 = T₁₃₁₃₆).

The spelling of 862791764640 in words is "eight hundred sixty-two billion, seven hundred ninety-one million, seven hundred sixty-four thousand, six hundred forty".