2693476376640 has 896 divisors, whose sum is σ = 11447293132800. Its totient is φ = 582416179200.

The previous prime is 2693476376639. The next prime is 2693476376651. The reversal of 2693476376640 is 466736743962.

2693476376640 is a `hidden beast` number, since 2 + 6 + 93 + 476 + 3 + 76 + 6 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1145671465 + ... + 1145673815.

It is an arithmetic number, because the mean of its divisors is an integer number (12775996800).

Almost surely, 2^{2693476376640} is an apocalyptic number.

2693476376640 is a gapful number since it is divisible by the number (20) 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 2693476376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723646566400).

2693476376640 is an abundant number, since it is smaller than the sum of its proper divisors (8753816756160).

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

2693476376640 is a wasteful number, since it uses less digits than its factorization.

2693476376640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 63.

The spelling of 2693476376640 in words is "two trillion, six hundred ninety-three billion, four hundred seventy-six million, three hundred seventy-six thousand, six hundred forty".