378767076480 has 512 divisors, whose sum is σ = 1507488192000. Its totient is φ = 89180061696.

The previous prime is 378767076469. The next prime is 378767076487. The reversal of 378767076480 is 84670767873.

378767076480 is a `hidden beast` number, since 3 + 7 + 87 + 6 + 7 + 0 + 76 + 480 = 666.

It is not an unprimeable number, because it can be changed into a prime (378767076487) 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, 5130066 + ... + 5203374.

It is an arithmetic number, because the mean of its divisors is an integer number (2944312875).

Almost surely, 2^378767076480 is an apocalyptic number.

378767076480 is a gapful number since it is divisible by the number (30) 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 378767076480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753744096000).

378767076480 is an abundant number, since it is smaller than the sum of its proper divisors (1128721115520).

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

378767076480 is a wasteful number, since it uses less digits than its factorization.

378767076480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73373 (or 73355 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 63.

The spelling of 378767076480 in words is "three hundred seventy-eight billion, seven hundred sixty-seven million, seventy-six thousand, four hundred eighty".